CBOR                                                          C. Bormann
Internet-Draft                                    Universität Bremen TZI
Intended status: Best Current Practice                       12 May 2025
Expires: 13 November 2025


                CBOR Common Deterministic Encoding (CDE)
                       draft-ietf-cbor-cde-latest

Abstract

   CBOR (STD 94, RFC 8949) defines "Deterministically Encoded CBOR" in
   its Section 4.2, providing some flexibility for application specific
   decisions.  To facilitate Deterministic Encoding to be offered as a
   selectable feature of generic encoders, the present document defines
   a CBOR Common Deterministic Encoding (CDE) that can be shared by a
   large set of applications with potentially diverging detailed
   requirements.  It also defines the term "Basic Serialization", which
   stops short of the potentially more onerous requirements that make
   CDE fully deterministic, while employing most of its reductions of
   the variability needing to be handled by decoders.

About This Document

   This note is to be removed before publishing as an RFC.

   Status information for this document may be found at
   https://datatracker.ietf.org/doc/draft-ietf-cbor-cde/.

   Discussion of this document takes place on the Concise Binary Object
   Representation Maintenance and Extensions (CBOR) Working Group
   mailing list (mailto:cbor@ietf.org), which is archived at
   https://mailarchive.ietf.org/arch/browse/cbor/.  Subscribe at
   https://www.ietf.org/mailman/listinfo/cbor/.

   Source for this draft and an issue tracker can be found at
   https://github.com/cbor-wg/draft-ietf-cbor-cde.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at https://datatracker.ietf.org/drafts/current/.




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Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Structure of This Document  . . . . . . . . . . . . . . .   3
     1.2.  Conventions and Definitions . . . . . . . . . . . . . . .   4
   2.  Encoding Choices in CBOR  . . . . . . . . . . . . . . . . . .   5
   3.  CBOR Common Deterministic Encoding (CDE)  . . . . . . . . . .   6
     3.1.  CDE Constraints from Preferred Serialization  . . . . . .   7
     3.2.  Additional CDE Constraint from Basic Serialization  . . .   9
     3.3.  Additional CDE Constraint from CDE Itself . . . . . . . .  10
   4.  CDDL support  . . . . . . . . . . . . . . . . . . . . . . . .  10
   5.  Security Considerations . . . . . . . . . . . . . . . . . . .  11
   6.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .  11
   7.  References  . . . . . . . . . . . . . . . . . . . . . . . . .  12
     7.1.  Normative References  . . . . . . . . . . . . . . . . . .  12
     7.2.  Informative References  . . . . . . . . . . . . . . . . .  13
   Appendix A.  Information Model, Data Model and Serialization  . .  14
     A.1.  Data Model, Encoding Variants and Interoperability with
           Partial Implementations . . . . . . . . . . . . . . . . .  15
   Appendix B.  Application-level Deterministic Representation . . .  17
   Appendix C.  Implementers' Checklists . . . . . . . . . . . . . .  20
     C.1.  Preferred Serialization . . . . . . . . . . . . . . . . .  21
       C.1.1.  Preferred Serialization Encoders  . . . . . . . . . .  21
       C.1.2.  Decoders and Preferred Serialization  . . . . . . . .  23
     C.2.  Basic Serialization . . . . . . . . . . . . . . . . . . .  23
       C.2.1.  Basic Serialization Encoders  . . . . . . . . . . . .  24
       C.2.2.  Decoders and Basic Serialization  . . . . . . . . . .  24



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     C.3.  CDE . . . . . . . . . . . . . . . . . . . . . . . . . . .  24
       C.3.1.  CDE Encoders  . . . . . . . . . . . . . . . . . . . .  24
       C.3.2.  CDE-checking Decoders . . . . . . . . . . . . . . . .  25
   Appendix D.  Encoding Examples  . . . . . . . . . . . . . . . . .  25
     D.1.  Integer Value Examples  . . . . . . . . . . . . . . . . .  25
     D.2.  Floating Point Value Examples . . . . . . . . . . . . . .  27
     D.3.  Failing Examples  . . . . . . . . . . . . . . . . . . . .  29
   Appendix E.  Examples for Preferred Serialization of Integers . .  30
   List of Tables  . . . . . . . . . . . . . . . . . . . . . . . . .  31
   Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . .  32
   Contributors  . . . . . . . . . . . . . . . . . . . . . . . . . .  32
   Author's Address  . . . . . . . . . . . . . . . . . . . . . . . .  32

1.  Introduction

   CBOR (STD 94, RFC 8949) defines "Deterministically Encoded CBOR" in
   its Section 4.2, providing some flexibility for application specific
   decisions.  To facilitate Deterministic Encoding to be offered as a
   selectable feature of generic encoders, the present document defines
   a CBOR Common Deterministic Encoding (CDE) that can be shared by a
   large set of applications with potentially diverging detailed
   requirements.  It also defines the term "Basic Serialization", which
   stops short of the potentially more onerous requirements that make
   CDE fully deterministic, while employing most of its reductions of
   the variability needing to be handled by decoders.

1.1.  Structure of This Document

   After introductory material (this introduction and Section 2),
   Section 3 defines the CBOR Common Deterministic Encoding (CDE).
   Section 4 defines Concise Data Definition Language (CDDL) support for
   indicating the use of CDE.  This is followed by the conventional
   sections for Security Considerations (5), IANA Considerations (6),
   and References (7).

   For use as background material, Appendix A introduces terminology for
   the layering of models used to describe CBOR.














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   Instead of giving rise to the definition of application-specific,
   non-interoperable variants of CDE, this document identifies
   Application-level Deterministic Representation (ALDR) rules as a
   concept that is separate from CDE itself (Appendix B) and therefore
   out of scope for this document.  ALDR rules are situated at the
   application-level, i.e., on top of the CDE, and address requirements
   on deterministic representation of application data that are specific
   to an application or a set of applications.  ALDR rules are often
   provided as part of a specification for a CBOR-based protocol, or, if
   needed, can be provided by referencing a shared "ALDR ruleset" that
   is defined in a separate document.

   The informative Appendix C provides brief checklists that
   implementers can use to check their CDE implementations.
   Appendix C.1 provides a checklist for implementing Preferred
   Serialization.  Appendix C.2 introduces "Basic Serialization", a
   slightly more restricted form of Preferred Serialization that may be
   used by encoders to hit a sweet spot for maximizing interoperability
   with partial (e.g., constrained) CBOR decoder implementations.
   Appendix C.3 further restricts Basic Serialization to arrive at CDE.

   Appendix D provides a few examples for CBOR data items in CDE
   encoding, as well as a few failing examples.

1.2.  Conventions and Definitions

   The conventions and definitions of [STD94] apply.  Appendix A
   provides additional discussion of the terms information model, data
   model, and serialization.

   *  The term "CBOR Application" ("application" for short) is not
      explicitly defined in [STD94]; this document uses it in the same
      sense as it is used there, specifically for applications that use
      CBOR as an interchange format and use (often generic) CBOR
      encoders/decoders to serialize/ingest the CBOR form of their
      application data to be exchanged.

   *  Similarly, "CBOR Protocol" is used as in [STD94] for the protocol
      that governs the interchange of data in CBOR format for a specific
      application or set of applications.

   *  "Representation" stands for the process, and its result, of
      building the representation format out of (information-model
      level) application data.







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   *  "Serialization" is used for the subset of this process, and its
      result, that represents ("serializes") data in CBOR generic data
      model form into encoded data items.  "Encoding" is often used as a
      synonym when the focus is on that.

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
   "OPTIONAL" in this document are to be interpreted as described in
   [BCP14] (RFC2119) (RFC8174) when, and only when, they appear in all
   capitals, as shown here.

2.  Encoding Choices in CBOR

   In many cases, CBOR provides more than one way to encode a data item,
   i.e., to serialize it into a sequence of bytes.  This flexibility can
   provide convenience for the generator of the encoded data item, but
   handling the resulting variation can also put an onus on the decoder.
   In general, there is no single perfect encoding choice that is
   optimal for all applications.  Choosing the right constraints on
   these encoding choices is one element of application protocol design.
   Having predefined sets of such choices is a useful way to reduce
   variation between applications, enabling generic implementations.

   Section 4.1 of RFC 8949 [STD94] provides a recommendation for a
   _Preferred Serialization_. This recommendation is useful for most
   CBOR applications, and it is a good choice for most applications.
   Its main constraint is to choose the shortest _head_ (Section 3 of
   RFC 8949 [STD94]) that preserves the value of a data item.

   Preferred Serialization allows indefinite length encoding
   (Section 3.2 of RFC 8949 [STD94]), which does not express the length
   of a string, an array, or a map in its head.  Supporting both
   definite length and indefinite length encoding is an additional onus
   on the decoder; many applications therefore choose not to use
   indefinite length encoding at all.  We call Preferred Serialization
   with this additional constraint _Basic Serialization_. Basic
   Serialization is a common choice for applications that need to
   further reduce the variability that needs to be handled by decoders,
   potentially maximizing interoperability with partial (e.g.,
   constrained) CBOR decoder implementations.

   These constraints still allow some variation.  In particular, there
   is more than one serialization for data items that contain maps: The
   order of serialization of map entries is ignored in CBOR (as it is in
   JSON), so maps with more than one entry have all permutations of
   these entries as valid Basic Serializations. _Deterministic
   Serialization_ builds on Basic Serialization by defining a common
   (namely, lexicographic) order for the entries in a map.  For many



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   applications, ensuring this common order is an additional onus on the
   generator that is not actually needed, so they do not choose
   Deterministic Serialization.  However, if the objective is minimal
   effort for the consuming application, deterministic map ordering can
   be useful even outside the main use cases for Deterministic
   Serialization that are further discussed in Section 2 of
   [I-D.bormann-cbor-det].

   Table 1 summarizes the increasingly restrictive sets of encoding
   choices that have been given names in this section.

        +=========================+================+==============+
        | Set of Encoding Choices | Most Important | Applications |
        |                         | Constraint     |              |
        +=========================+================+==============+
        | Preferred               | shortest       | most         |
        |                         | "head" variant |              |
        +-------------------------+----------------+--------------+
        | Basic                   | + definite     | many         |
        |                         | lengths only   |              |
        +-------------------------+----------------+--------------+
        | _Deterministic_ ("CDE") | + common map   | specific     |
        |                         | order          |              |
        +-------------------------+----------------+--------------+

             Table 1: Constraints on the Serialization of CBOR

   Note that the objective to have a deterministic serialization for a
   specific application data item can only be fulfilled if the
   application itself does not generate multiple different CBOR data
   items that represent that same (equivalent) application data item.
   We speak of the need for Application-level Deterministic
   Representation (ALDR), and we may want to aid achieving this by the
   application defining rules for ALDR (see also Appendix B).  Where
   Deterministic Representation is not actually needed, application-
   level representation rules of course can still be useful to amplify
   the benefits of Preferred or Basic Serialization.

3.  CBOR Common Deterministic Encoding (CDE)

   This specification defines the _CBOR Common Deterministic Encoding_
   (CDE) based on the _Core Deterministic Encoding Requirements_ defined
   for CBOR in Section 4.2.1 of RFC 8949 [STD94].








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   Note that this specific set of requirements is elective — in
   principle, other variants of deterministic encoding can be defined
   (and have been, now being phased out, as detailed in Section 4.2.3 of
   RFC 8949 [STD94]).  In many applications of CBOR today, deterministic
   encoding is not used at all, as its restriction of choices can create
   some additional performance cost and code complexity.

   [STD94]'s "Core Deterministic Encoding Requirements" are designed to
   provide well-understood and easy-to-implement rules while maximizing
   coverage, i.e., the subset of CBOR data items that are fully
   specified by these rules, and also placing minimal burden on
   implementations.

   As discussed in Section 2, CDE combines the constraints of Preferred
   Serialization with a constraint added by Basic Serialization and
   another constraint added by CDE itself.  While many CBOR
   implementations do set out to provide Preferred Serialization, there
   is less of a practical requirement to fully conform, as generic CBOR
   decoders do not normally check for Preferred Serialization.  However,
   an application that relies on deterministic representation, during
   ingestion of an encoded CBOR data item will often need to employ a
   "CDE-checking decoder", i.e., a CBOR decoder configured to also check
   that all CDE constraints are satisfied (see also Appendix C).  Here,
   small deviations from CDE, including deviations from Preferred
   Serialization, turn into interoperability problems; hence the
   additional attention of the present document on these constraints.

3.1.  CDE Constraints from Preferred Serialization

   Section 4.2.2 of RFC 8949 [STD94] picks up on the interaction of
   extensibility (CBOR tags) and deterministic encoding.  CBOR itself
   uses some tags to increase the range of its basic generic data types,
   e.g., tags 2/3 extend the range of basic major types 0/1 in a
   seamless way.  Section 4.2.2 of RFC 8949 [STD94] recommends handling
   this transition the same way as with the transition between different
   integer representation lengths in the basic generic data model, i.e.,
   by mandating the Preferred Serialization for all integers
   (Section 3.4.3 of RFC 8949 [STD94]; see also Appendix D.1 and
   Appendix E).

   1.  By adopting the encoding constraints from Preferred
       Serialization, CDE turns this recommendation into a mandate:
       Integers that can be represented by basic major type 0 and 1 are
       encoded using the deterministic encoding defined for them, and
       integers outside this range are encoded using the Preferred
       Serialization (Section 3.4.3 of RFC 8949 [STD94]) of tag 2 and 3
       (i.e., no leading zero bytes).




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   Most tags capture more specific application semantics and therefore
   may be harder to define a deterministic encoding for.  While the
   deterministic encoding of their tag internals is often covered by the
   _Core Deterministic Encoding Requirements_, the mapping of diverging
   platform application data types onto the tag contents may require
   additional attention to perform it in a deterministic way; see
   Section 3.2 of [I-D.bormann-cbor-det] for more explanation as well as
   examples.  As the CDE would continually need to address additional
   issues raised by the registration of new tags, this specification
   recommends that new tag registrations address deterministic encoding
   in the context of CDE.  Note that not in all cases the tag's
   deterministic encoding constraints will be confined to its definition
   of Preferred Serialization.

   A particularly difficult field to obtain deterministic encoding for
   is floating point numbers, partially because they themselves are
   often obtained from processes that are not entirely deterministic
   between platforms.  See Section 3.2.2 of [I-D.bormann-cbor-det] for
   more details.  Section 4.2.2 of RFC 8949 [STD94] presents a number of
   choices that needed to be made to obtain the CBOR Common
   Deterministic Encoding (CDE).  Here, CDE entirely recurs to Preferred
   Serialization and does _not_ itself define any additional
   constraints.

   However, this BCP responds to a perceived need to clarify some of the
   Preferred Serialization constraints.  Specifically, CDE specifies (in
   the order of the bullet list at the end of Section 4.2.2 of RFC 8949
   [STD94]):

   2.  Besides the mandated use of Preferred Serialization, there is no
       further specific action for the two different zero values, e.g.,
       an encoder that is asked by an application to represent a
       negative floating point zero will generate 0xf98000.

   3.  There is no attempt to mix integers and floating point numbers,
       i.e., all floating point values are encoded as the preferred
       floating-point representation that accurately represents the
       value, independent of whether the floating point value is,
       mathematically, an integral value (choice 2 of the second
       bullet).

   4.  Apart from finite and infinite numbers, [IEEE754] floating point
       values include NaN (not a number) values
       [I-D.bormann-cbor-numbers].  In CDE, there is no special handling
       of NaN values, except a clarification that the Preferred
       Serialization rules also apply to NaNs (with zero or non-zero
       payloads), using the canonical encoding of NaNs as defined in
       Section 6.2.1 of [IEEE754].  Specifically, this means that



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       shorter forms of encodings for a NaN are used when that can be
       achieved by only removing trailing zeros in the NaN payload
       (example serializations are available in Appendix A.1.2 of
       [I-D.bormann-cbor-numbers]).  Further clarifying a "should"-level
       statement in Section 6.2.1 of [IEEE754], the CBOR encoding always
       uses a leading bit of 1 in the significand to encode a quiet NaN;
       the use of signaling NaNs by application protocols is NOT
       RECOMMENDED but when presented by an application these are
       encoded by using a leading bit of 0.

       Typically, most applications that employ NaNs in their storage
       and communication interfaces will only use a single NaN value,
       quiet, non-negative NaN with payload 0, which therefore
       deterministically encodes as 0xf97e00.

   5.  There is no special handling of subnormal values.

   6.  CDE does not presume equivalence of basic floating point values
       with floating point values using other representations (e.g., tag
       4/5).  Such equivalences and related deterministic representation
       rules can be added at the ALDR level if desired, e.g., by
       stipulating additional equivalences and deterministically
       choosing exactly one representation for each such equivalence,
       and by restricting in general the set of data item values
       actually used by an application.

   The main intent here is to preserve the basic generic data model, so
   applications (in their ALDR rules or by referencing a separate ALDR
   ruleset document, see Appendix B) can make their own decisions within
   that data model.  E.g., an application's ALDR rules can decide that
   it only ever allows a single NaN value that would be encoded as
   0xf97e00, so a CDE implementation focusing on this application would
   not even need to provide processing for other NaN values.  Basing the
   definition of both CDE and ALDR rules on the generic data model of
   CBOR also means that there is no effect on the Concise Data
   Definition Language (CDDL) [RFC8610], except where the data
   description is documenting specific encoding decisions for byte
   strings that carry embedded CBOR (see Section 4).

3.2.  Additional CDE Constraint from Basic Serialization

   In addition to the encoding constraints from Preferred Serialization,
   CDE adds the constraint of not using indefinite length encoding from
   Basic Serialization.  In many encoders, the use of indefinite length
   encoding is controlled by its configuration and can simply be
   switched off.





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   Some encoders turn to indefinite length encoding for arrays and maps
   with 256 or more elements/entries, to use the slightly smaller
   serialization size indefinite length encoding offers for these cases.
   Since leaving out support for indefinite length encoding is a common
   form of partial implementation, this may reduce interoperability.
   (Indefinite length encoding may also be used conditionally to avoid
   having to compute the total size ahead of time if the platform uses
   some form of chunking.)  As CDE uses definite length encoding
   exclusively, such behavior needs to be turned off for CDE.

3.3.  Additional CDE Constraint from CDE Itself

   In line with Section 4.2.1 of RFC 8949 [STD94], CDE adds the
   constraint of map ordering to those from Basic Serialization.  In
   some implementations, where platform representations of maps preserve
   ordering, this can be achieved using a generic CBOR encoder by pre-
   ordering all maps to be encoded, as long as that generic encoder also
   preserves the ordering in maps.  In implementations without these
   properties, a specialized CBOR encoder may need to be employed.

   Map ordering is a deterministic encoding constraint specific to maps,
   major type 5, that goes beyond maps' constraints for preferred
   serialization.  In the definition of a tag being employed, there may
   also be some deterministic encoding constraints that are not covered
   by the tag's constraints for Preferred Serialization (see
   Section 3.1).

4.  CDDL support

   CDDL defines the structure of CBOR data items at the data model
   level; it enables being specific about the data items allowed in a
   particular place.  It does not specify encoding, but CBOR protocols
   can specify the use of CDE (or simply Basic Serialization).  For
   instance, it allows the specification of a floating point data item
   as "float16"; this means the application data model only foresees
   data that can be encoded as [IEEE754] binary16.  Note that specifying
   "float32" for a floating point data item enables all floating point
   values that can be represented as binary32; this includes values that
   can also be represented as binary16 and that will be so represented
   in Basic Serialization.

   [RFC8610] defines control operators to indicate that the contents of
   a byte string carries a CBOR-encoded data item (.cbor) or a sequence
   of CBOR-encoded data items (.cborseq).







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   CDDL specifications may want to specify that the data items should be
   encoded in Common CBOR Deterministic Encoding.  The present
   specification adds two CDDL control operators that can be used for
   this.

   The control operators .cde and .cdeseq are exactly like .cbor and
   .cborseq except that they also require the encoded data item(s) to be
   encoded according to CDE.

   For example, a byte string of embedded CBOR that is to be encoded
   according to CDE can be formalized as:

   leaf = #6.24(bytes .cde any)

   More importantly, if the encoded data item also needs to have a
   specific structure, this can be expressed by the right-hand side
   (instead of using the most general CDDL type any here).

   (Note that the .cdeseq control operator does not enable specifying
   different deterministic encoding requirements for the elements of the
   sequence.  If a use case for such a feature becomes known, it could
   be added, or the CBOR sequence could be constructed with .join
   (Section 3.1 of [RFC9741]).)

   Obviously, specifications that document ALDR rules can define related
   control operators that also embody the processing required by those
   ALDR rules, and are encouraged to do so.

5.  Security Considerations

   The security considerations in Section 10 of RFC 8949 [STD94] apply.
   The use of deterministic encoding can mitigate issues arising out of
   the use of non-preferred serializations specially crafted by an
   attacker.  However, this effect only accrues if the decoder actually
   checks that deterministic encoding was applied correctly.  More
   generally, additional security properties of deterministic encoding
   can rely on this check being performed properly.

6.  IANA Considerations


   // RFC Editor: please replace RFCXXXX with the RFC number of this RFC
   // and remove this note.

   This document requests IANA to register the contents of Table 2 into
   the registry "CDDL Control Operators" of the [IANA.cddl] registry
   group:




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                          +---------+-----------+
                          | Name    | Reference |
                          +---------+-----------+
                          | .cde    | [RFCXXXX] |
                          | .cdeseq | [RFCXXXX] |
                          +---------+-----------+

                            Table 2: New control
                              operators to be
                                 registered

7.  References

7.1.  Normative References

   [BCP14]    Best Current Practice 14,
              <https://www.rfc-editor.org/info/bcp14>.
              At the time of writing, this BCP comprises the following:

              Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119,
              DOI 10.17487/RFC2119, March 1997,
              <https://www.rfc-editor.org/info/rfc2119>.

              Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
              2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
              May 2017, <https://www.rfc-editor.org/info/rfc8174>.

   [IANA.cddl]
              IANA, "Concise Data Definition Language (CDDL)",
              <https://www.iana.org/assignments/cddl>.

   [IEEE754]  IEEE, "IEEE Standard for Floating-Point Arithmetic", IEEE
              Std 754-2019, DOI 10.1109/IEEESTD.2019.8766229,
              <https://ieeexplore.ieee.org/document/8766229>.

   [RFC8610]  Birkholz, H., Vigano, C., and C. Bormann, "Concise Data
              Definition Language (CDDL): A Notational Convention to
              Express Concise Binary Object Representation (CBOR) and
              JSON Data Structures", RFC 8610, DOI 10.17487/RFC8610,
              June 2019, <https://www.rfc-editor.org/rfc/rfc8610>.

   [STD94]    Internet Standard 94,
              <https://www.rfc-editor.org/info/std94>.
              At the time of writing, this STD comprises the following:






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              Bormann, C. and P. Hoffman, "Concise Binary Object
              Representation (CBOR)", STD 94, RFC 8949,
              DOI 10.17487/RFC8949, December 2020,
              <https://www.rfc-editor.org/info/rfc8949>.

7.2.  Informative References

   [I-D.bormann-cbor-det]
              Bormann, C., "CBOR: On Deterministic Encoding and
              Representation", Work in Progress, Internet-Draft, draft-
              bormann-cbor-det-04, 21 January 2025,
              <https://datatracker.ietf.org/doc/html/draft-bormann-cbor-
              det-04>.

   [I-D.bormann-cbor-numbers]
              Bormann, C., "On Numbers in CBOR", Work in Progress,
              Internet-Draft, draft-bormann-cbor-numbers-01, 8 January
              2025, <https://datatracker.ietf.org/doc/html/draft-
              bormann-cbor-numbers-01>.

   [I-D.bormann-dispatch-modern-network-unicode]
              Bormann, C., "Modern Network Unicode", Work in Progress,
              Internet-Draft, draft-bormann-dispatch-modern-network-
              unicode-06, 2 March 2025,
              <https://datatracker.ietf.org/doc/html/draft-bormann-
              dispatch-modern-network-unicode-06>.

   [I-D.ietf-cbor-edn-literals]
              Bormann, C., "CBOR Extended Diagnostic Notation (EDN)",
              Work in Progress, Internet-Draft, draft-ietf-cbor-edn-
              literals-16, 8 January 2025,
              <https://datatracker.ietf.org/doc/html/draft-ietf-cbor-
              edn-literals-16>.

   [I-D.mcnally-deterministic-cbor]
              McNally, W., Allen, C., Bormann, C., and L. Lundblade,
              "dCBOR: A Deterministic CBOR Application Profile", Work in
              Progress, Internet-Draft, draft-mcnally-deterministic-
              cbor-12, 7 February 2025,
              <https://datatracker.ietf.org/doc/html/draft-mcnally-
              deterministic-cbor-12>.

   [RFC7493]  Bray, T., Ed., "The I-JSON Message Format", RFC 7493,
              DOI 10.17487/RFC7493, March 2015,
              <https://www.rfc-editor.org/rfc/rfc7493>.






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   [RFC8392]  Jones, M., Wahlstroem, E., Erdtman, S., and H. Tschofenig,
              "CBOR Web Token (CWT)", RFC 8392, DOI 10.17487/RFC8392,
              May 2018, <https://www.rfc-editor.org/rfc/rfc8392>.

   [RFC9581]  Bormann, C., Gamari, B., and H. Birkholz, "Concise Binary
              Object Representation (CBOR) Tags for Time, Duration, and
              Period", RFC 9581, DOI 10.17487/RFC9581, August 2024,
              <https://www.rfc-editor.org/rfc/rfc9581>.

   [RFC9679]  Isobe, K., Tschofenig, H., and O. Steele, "CBOR Object
              Signing and Encryption (COSE) Key Thumbprint", RFC 9679,
              DOI 10.17487/RFC9679, December 2024,
              <https://www.rfc-editor.org/rfc/rfc9679>.

   [RFC9741]  Bormann, C., "Concise Data Definition Language (CDDL):
              Additional Control Operators for the Conversion and
              Processing of Text", RFC 9741, DOI 10.17487/RFC9741, March
              2025, <https://www.rfc-editor.org/rfc/rfc9741>.

   [STD96]    Internet Standard 96,
              <https://www.rfc-editor.org/info/std96>.
              At the time of writing, this STD comprises the following:

              Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Structures and Process", STD 96, RFC 9052,
              DOI 10.17487/RFC9052, August 2022,
              <https://www.rfc-editor.org/info/rfc9052>.

              Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Countersignatures", STD 96, RFC 9338,
              DOI 10.17487/RFC9338, December 2022,
              <https://www.rfc-editor.org/info/rfc9338>.

   [UAX-15]   "Unicode Normalization Forms", Unicode Standard Annex,
              <https://unicode.org/reports/tr15/>.

Appendix A.  Information Model, Data Model and Serialization

   This appendix is informative.

   For a good understanding of this document, it is helpful to
   understand the difference between an information model, a data model
   and serialization.








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   +=============+============+==============+=========+==============+
   |             |Abstraction |Example       |Standards|Implementation|
   |             |Level       |              |         |Representation|
   +=============+============+==============+=========+==============+
   |Information  |Top level;  |The           |         |              |
   |Model        |conceptual  |temperature of|         |              |
   |             |            |something     |         |              |
   +-------------+------------+--------------+---------+--------------+
   |Data Model   |Realization |A floating-   |CDDL     |API input to  |
   |             |of          |point number  |         |CBOR encoder  |
   |             |information |representing  |         |library,      |
   |             |in data     |the           |         |output from   |
   |             |structures  |temperature   |         |CBOR decoder  |
   |             |and data    |              |         |library       |
   |             |types       |              |         |              |
   +-------------+------------+--------------+---------+--------------+
   |Serialization|Actual bytes|Encoded CBOR  |CBOR     |Encoded CBOR  |
   |             |encoded for |of a floating-|         |in memory or  |
   |             |transmission|point number  |         |for           |
   |             |            |              |         |transmission  |
   +-------------+------------+--------------+---------+--------------+

        Table 3: A three-layer model of information representation

   CBOR does not provide facilities for expressing information models.
   They are mentioned here for completeness and to provide some context.

   CBOR defines a palette of basic data items that can be grouped into
   data types such as the usual integer or floating-point numbers, text
   or byte strings, arrays and maps, and certain special "simple values"
   such as Booleans and null.  Extended data types may be constructed
   from these basic types.  These basic and extended types are used to
   construct the data model of a CBOR protocol.  One notation that is
   often used for describing the data model of a CBOR protocol is CDDL
   [RFC8610].  The various types of data items in the data model are
   serialized per RFC 8949 [STD94] to create encoded CBOR data items.

A.1.  Data Model, Encoding Variants and Interoperability with Partial
      Implementations

   In contrast to JSON, CBOR-related documents explicitly discuss the
   data model separately from its serialization.  Both JSON and CBOR
   allow variation in the way some data items can be serialized:

   *  In JSON, the number 1 can be serialized in several different ways
      (1, 0.1e1, 1.0, 100e-2) — while it may seem obvious to use 1 for
      this case, this is less clear for 1000000000000000000000000000000
      vs. 1e+30 or 1e30.  (As its serialization also doubles as a human-



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      readable interface, JSON also allows the introduction of blank
      space for readability.)  The lack of an agreed data model for JSON
      led to the need for a complementary specification documenting an
      interoperable subset [RFC7493].

   *  The CBOR standard addresses constrained environments, both by
      being concise and by limiting variation, but also by conversely
      allowing certain data items in the data model to be serialized in
      multiple ways, which may ease implementation on low-resource
      platforms.  On the other hand, constrained environments may
      further save resources by only partially implementing the decoder
      functionality, e.g., by not implementing all those variations.

   To deal with this encoding variation provided for certain data items,
   CBOR defines a _Preferred Serialization_ (Section 4.1 of RFC 8949
   [STD94]). _Partial CBOR implementations_ are more likely to
   interoperate if their encoder uses Preferred Serialization and the
   decoder implements decoding at least the Preferred Serialization as
   well.  A specific protocol for a constrained application may specify
   restrictions that allow, e.g., some fields to be of fixed length,
   guaranteeing interoperability even with partial implementations
   optimized for this application.

   Another encoding variation is provided by indefinite-length encoding
   for strings, arrays, and maps, which enables these to be streamed
   without knowing their length upfront (Section 3.2 of RFC 8949
   [STD94]).  For applications that do not perform streaming of this
   kind, variation can be reduced (and often performance improved) by
   only allowing definite-length encoding.  The present document coins
   the term _Basic Serialization_ for combining definite-length-only
   with preferred encoding, further reducing the variation that a
   decoder needs to deal with.  The Common Deterministic Encoding, CDE,
   finally combines basic serialization with a deterministic ordering of
   entries in a map (Table 1).

   Partial implementations of a representation format are quite common
   in embedded applications.  Protocols for embedded applications often
   reduce the footprint of an embedded JSON implementation by explicitly
   restricting the breadth of the data model, e.g., by not using
   floating point numbers with 64 bits of precision or by not using
   floating point numbers at all.  These data-model-level restrictions
   do not get in the way of using complete implementations ("generic
   encoders/decoders", Section 5.2 of RFC 8949 [STD94]).  (Note that
   applications may need to complement deterministic encoding with
   decisions on the deterministic representation of application data
   into CBOR data items, see Appendix B.)





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   The increasing constraints on encoding (unconstrained, preferred,
   basic, CDE) are orthogonal to data-model-level data definitions as
   provided by [RFC8610].  To be useful in all applications, these
   constraints have been defined for all possible data items, covering
   the full range of values offered by CBOR's data types.  This ensures
   that these serialization constraints can be applied to any CBOR
   protocol, without requiring protocol-specific modifications to
   generic encoder/decoder implementations.

Appendix B.  Application-level Deterministic Representation

   This appendix is informative.

   CBOR application protocols are agreements about how to use CBOR for a
   specific application or set of applications.

   For a CBOR protocol to provide deterministic representation, both the
   encoding and application layer must be deterministic.  While CDE
   ensures determinism at the encoding layer, requirements at the
   application layer may also be necessary.

   Application protocols make representation decisions in order to
   constrain the variety of ways in which some aspect of the information
   model could be represented in the CBOR data model for the
   application.  For instance, there are several CBOR tags that can be
   used to represent a time stamp (such as tag 0, 1, 1001), each with
   some specific properties.

      |  For example, an application protocol that needs to represent
      |  birthdate/times could specify:
      |  
      |     *  At the sender’s convenience, the birthdate/time MAY be
      |        sent either in epoch date format (as in tag 1) or string
      |        date format (as in tag 0).
      |  
      |     *  The receiver MUST decode both formats.
      |  
      |  While this specification is interoperable, it lacks
      |  determinism.  There is variability in the application layer
      |  akin to variability in the CBOR encoding layer when CDE is not
      |  required.
      |  
      |  To make this example application layer specification
      |  deterministic, allow only one date format (or at least be
      |  deterministic when there is a choice, e.g., by specifying
      |  string format for leap seconds only).





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   Application protocols that need to represent a timestamp typically
   choose a specific tag and further constrain its use where necessary
   (e.g., tag 1001 was designed to cover a wide variety of applications
   [RFC9581]).  Where no tag is available, the application protocol can
   design its own format for some application data.  Even where a tag is
   available, the application data can choose to use its definitions
   without actually encoding the tag (e.g., by using its content in
   specific places in an "unwrapped" form).

   Another source of application layer variability comes from the
   variety of number types CBOR offers.  For instance, the number 2 can
   be represented as an integer, float, big number, decimal fraction and
   other.  Most protocols designs will just specify one number type to
   use, and that will give determinism, but here’s an example
   specification that doesn’t:

      |  For instance, CWT [RFC8392] defines an application data type
      |  "NumericDate" which (as an application-level rule) is formed by
      |  "unwrapping" tag 1 (see Sections 2 and 5 of [RFC8392]).  CWT
      |  does stop short of using deterministic encoding.  A
      |  hypothetical deterministic variant of CWT would need to make an
      |  additional ALDR rule for NumericDate, as the definition of tag
      |  1 allows both integer and floating point numbers (Section 3.4.2
      |  of RFC 8949 [STD94]), which allows multiple application-level
      |  representations of integral numbers.  These application rules
      |  may choose to only ever use integers, or to always use integers
      |  when the numeric value can be represented as such without loss
      |  of information, or to always use floating point numbers, or
      |  some of these for some application data and different ones for
      |  other application data.

   Applications that require Deterministic Representation, and that
   derive CBOR data items from application data without maintaining a
   record of which choices are to be made when representing these
   application data, generally make rules for these choices as part of
   the application protocol.  In this document, we speak about these
   choices as Application-level Deterministic Representation Rules (ALDR
   rules for short).

      |  As an example, [RFC9679] is intended to derive a
      |  (deterministic) thumbprint from a COSE key [STD96].  Section 4
      |  of [RFC9679] provides the rules that are used to construct a
      |  deterministic application-level representation (ALDR rules).
      |  Only certain data from a COSE key are selected to be included
      |  in that ALDR, and, where the COSE can choose multiple
      |  representations of semantically equivalent application data,
      |  the ALDR rules choose one of them, potentially requiring a
      |  conversion (Section 4.2 of [RFC9679]):



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      |  
      |     |  Note: [RFC9052] supports both compressed and uncompressed
      |     |  point representations.  For interoperability,
      |     |  implementations adhering to this specification MUST use
      |     |  the uncompressed point representation.  Therefore, the
      |     |  y-coordinate is expressed as a bstr.  If an
      |     |  implementation uses the compressed point representation,
      |     |  it MUST first convert it to the uncompressed form for the
      |     |  purpose of thumbprint calculation.

   CDE provides for encoding commonality between different applications
   of CBOR once these application-level choices have been made.  It can
   be useful for an application or a group of applications to document
   their choices aimed at deterministic representation of application
   data in a general way, constraining the set of data items handled
   (_exclusions_, e.g., no compressed point representations) and
   defining further mappings (_reductions_, e.g., conversions to
   uncompressed form) that help the application(s) get by with the
   exclusions.  This can be done in the application protocol
   specification (as in [RFC9679]) or as a separate document.

      |  An early example of a separate document is the dCBOR
      |  specification [I-D.mcnally-deterministic-cbor]. dCBOR specifies
      |  the use of CDE together with some application-level rules,
      |  i.e., an ALDR ruleset, such as a requirement for all text
      |  strings to be in Unicode Normalization Form C (NFC) [UAX-15] —
      |  this specific requirement is an example for an _exclusion_ of
      |  non-NFC data at the application level, and it invites
      |  implementing a _reduction_ by routine normalization of text
      |  strings.

   ALDR rules (including rules specified in a ALDR ruleset document)
   enable simply using implementations of the common CDE; they do not
   "fork" CBOR in the sense of requiring distinct generic encoder/
   decoder implementations for each application.

   An implementation of specific ALDR rules combined with a CDE
   implementation produces well-formed, deterministically encoded CBOR
   according to [STD94], and existing generic CBOR decoders will
   therefore be able to decode it, including those that check for
   Deterministic Encoding ("CDE-checking decoders", see also
   Appendix C).  Similarly, generic CBOR encoders will be able to
   produce valid CBOR that can be ingested by an implementation that
   enforces an application's ALDR rules if the encoder was handed data
   model level information from an application that simply conformed to
   those ALDR rules.





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   Please note that the separation between standard CBOR processing and
   the processing required by the ALDR rules is a conceptual one:
   Instead of employing generic encoders/decoders, both ALDR rule
   processing and standard CBOR processing can be combined into a
   specialized encoder/decoder specifically designed for a particular
   set of ALDR rules.

   ALDR rules are intended to be used in conjunction with an
   application, which typically will naturally use a subset of the CBOR
   generic data model, which in turn influences which subset of the ALDR
   rules is used by the specific application (in particular if the
   application simply references a more general ALDR ruleset document).
   As a result, ALDR rules themselves place no direct requirement on
   what minimum subset of CBOR is implemented.  For instance, a set of
   ALDR rules might include rules for the processing of floating point
   values, but there is no requirement that implementations of that set
   of ALDR rules support floating point numbers (or any other kind of
   number, such as arbitrary precision integers or 64-bit negative
   integers) when they are used with applications that do not use them.

Appendix C.  Implementers' Checklists

   This appendix is informative.  It provides brief checklists that
   implementers can use to check their implementations.  It uses RFC2119
   language, specifically the keyword MUST, to highlight the specific
   items that implementers may want to check.  It does not contain any
   normative mandates.  This appendix is informative.

   Notes:

   *  This is largely a restatement of parts of Section 4 of RFC 8949
      [STD94].  The purpose of the restatement is to aid the work of
      implementers, not to redefine anything.

      Preferred Serialization Encoders as well as CDE Encoders and CDE-
      checking Decoders have certain properties that are expressed using
      RFC2119 keywords in this appendix.

   *  Duplicate map keys are never valid in CBOR at all (see list item
      "Major type 5" in Section 3.1 of RFC 8949 [STD94]) no matter what
      sort of serialization is used.  Of the various strategies listed
      in Section 5.6 of RFC 8949 [STD94], detecting duplicates and
      handling them as an error instead of passing invalid data to the
      application is the most robust one; achieving this level of
      robustness is a mark of quality of implementation.






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   *  Preferred serialization and CDE only affect serialization.  They
      do not place any requirements, exclusions, mappings or such on the
      data model level.  ALDR rules such as the ALDR ruleset defined by
      dCBOR are different as they can affect the data model by
      restricting some values and ranges.

   *  CBOR decoders in general (as opposed to "CDE-checking decoders"
      specifically advertised as supporting CDE) are not required to
      check for preferred serialization or CDE and reject inputs that do
      not fulfill their requirements.  However, in an environment that
      employs deterministic encoding, employing non-checking CBOR
      decoders negates many of its benefits.  Decoder implementations
      that advertise "support" for preferred serialization or CDE need
      to check the encoding and reject input that is not encoded to the
      encoding specification in use.  Again, ALDR rules such as those in
      dCBOR may pose additional requirements, such as requiring
      rejection of non-conforming inputs.

      If a generic decoder needs to be used that does not "support" CDE,
      a simple (but somewhat clumsy) way to check its input for proper
      CDE encoding is to re-encode the decoded data with CDE and check
      for bit-to-bit equality with the original input.

C.1.  Preferred Serialization

   In the following, the abbreviation "ai" will be used for the 5-bit
   additional information field in the first byte of an encoded CBOR
   data item, which follows the 3-bit field for the major type.

C.1.1.  Preferred Serialization Encoders

   1.  Shortest-form encoding of the argument MUST be used for all major
       types.  Major type 7 is used for floating-point and simple
       values; floating point values have its specific rules for how the
       shortest form is derived for the argument.  The shortest form
       encoding for any argument that is not a floating point value is:

       *  0 to 23 and -1 to -24 MUST be encoded in the same byte as the
          major type.

       *  24 to 255 and -25 to -256 MUST be encoded only with an
          additional byte (ai = 0x18).

       *  256 to 65535 and -257 to -65536 MUST be encoded only with an
          additional two bytes (ai = 0x19).

       *  65536 to 4294967295 and -65537 to -4294967296 MUST be encoded
          only with an additional four bytes (ai = 0x1a).



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   2.  If floating-point numbers are emitted, the following apply:

       *  The length of the argument indicates half (binary16, ai =
          0x19), single (binary32, ai = 0x1a) and double (binary64, ai =
          0x1b) precision encoding.  If multiple of these encodings
          preserve the precision of the value to be encoded, only the
          shortest form of these MUST be emitted.  That is, encoders
          MUST support half-precision and single-precision floating
          point.

       *  [IEEE754] Infinites and NaNs, and thus NaN payloads, MUST be
          supported, to the extent possible on the platform.

          As with all floating point numbers, Infinites and NaNs MUST be
          encoded in the shortest of double, single or half precision
          that preserves the value:

          -  Positive and negative infinity and zero MUST be represented
             in half-precision floating point.

          -  For NaNs, the value to be preserved includes the sign bit,
             the quiet bit, and the NaN payload (whether zero or non-
             zero).  The shortest form is obtained by removing the
             rightmost N bits of the payload, where N is the difference
             in the number of bits in the significand (mantissa
             representation) between the original format and the
             shortest format.  This trimming is performed only
             (preserves the value only) if all the rightmost bits
             removed are zero.  (This means that a double or single
             quiet NaN that has a zero NaN payload will always be
             represented in a half-precision quiet NaN.)

   3.  If tags 2 and 3 are supported, the following apply:

       *  Positive integers from 0 to 2^64 - 1 MUST be encoded as a type
          0 integer.

       *  Negative integers from -(2^64) to -1 MUST be encoded as a type
          1 integer.

       *  Leading zeros MUST NOT be present in the byte string content
          of tag 2 and 3.

       (This also applies to the use of tags 2 and 3 within other tags,
       such as 4 or 5.)






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C.1.2.  Decoders and Preferred Serialization

   There are no special requirements that CBOR decoders need to meet to
   be what could be called a "Preferred Serialization Decoder".

   Partial decoder implementations that want to accept at least
   Preferred Serialization need to pay attention to at least the
   following requirements:

   1.  Decoders MUST accept shortest-form encoded arguments (see
       Section 3 of RFC 8949 [STD94]).

   2.  If arrays or maps are supported, both definite-length and
       indefinite-length arrays or maps MUST be accepted.

   3.  If text or byte strings are supported, both definite-length and
       indefinite-length text or byte strings MUST be accepted.

   4.  If floating-point numbers are supported, the following apply:

       *  Half-precision values MUST be accepted.

       *  Double- and single-precision values SHOULD be accepted;
          leaving these out is only foreseen for decoders that need to
          work in exceptionally constrained environments.

       *  If double-precision values are accepted, single-precision
          values MUST be accepted.

       *  Infinites and NaNs, and thus NaN payloads, MUST be accepted
          and presented to the application (not necessarily in the
          platform number format, if that doesn't support those values).

   5.  If big numbers (tags 2 and 3) are supported, type 0 and type 1
       integers MUST be accepted where a tag 2 or 3 would be accepted.
       Leading zero bytes in the tag content of a tag 2 or 3 MUST be
       ignored.

C.2.  Basic Serialization

   Basic Serialization further restricts Preferred Serialization by not
   using indefinite length encoding.  A CBOR encoder can choose to
   employ Basic Serialization in order to reduce the variability that
   needs to be handled by decoders, potentially maximizing
   interoperability with partial (e.g., constrained) CBOR decoder
   implementations.





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C.2.1.  Basic Serialization Encoders

   The Basic Serialization Encoder requirements are identical to the
   Preferred Serialization Encoder requirements, with the following
   additions:

   1.  If maps or arrays are emitted, they MUST use definite-length
       encoding (never indefinite-length).

   2.  If text or byte strings are emitted, they MUST use definite-
       length encoding (never indefinite-length).

C.2.2.  Decoders and Basic Serialization

   There are no special requirements that CBOR decoders need to meet to
   be what could be called a "Basic Serialization Decoder".

   Partial decoder implementations that want to accept at least Basic
   Serialization need to pay attention to the requirements for partial
   decoder implementations that accept Preferred Serialization, with the
   following relaxations from the items 2 and 3 of Appendix C.1.2:

   1.  If arrays or maps are supported, definite-length arrays or maps
       MUST be accepted.

   2.  If text or byte strings are supported, definite-length text or
       byte strings MUST be accepted.

C.3.  CDE

C.3.1.  CDE Encoders

   1.  CDE encoders MUST only emit CBOR that fulfills the basic
       serialization rules (Appendix C.2.1).

   2.  CDE encoders MUST sort maps by the CBOR representation of the map
       key.  The sorting is byte-wise lexicographic order of the encoded
       map key data items.

   3.  CDE encoders MUST generate CBOR that fulfills basic validity
       (Section 5.3.1 of RFC 8949 [STD94]).  Note that this includes not
       emitting duplicate keys in a major type 5 map as well as emitting
       only valid UTF-8 in major type 3 text strings.








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       Note also that CDE does NOT include a requirement for Unicode
       normalization [UAX-15]; Appendix C of
       [I-D.bormann-dispatch-modern-network-unicode] contains some
       rationale that went into not requiring routine use of Unicode
       normalization processes.

C.3.2.  CDE-checking Decoders

   The term "CDE-checking Decoder" is a shorthand for a CBOR decoder
   that advertises _supporting_ CDE (see the start of this appendix).

   1.  CDE-checking decoders MUST follow the rules for decoders that
       accept Basic Serialization (Appendix C.2.2) and MUST check the
       input for keeping the Basic Serialization constraints.

   2.  CDE-checking decoders MUST check for ordering map keys and for
       basic validity of the CBOR encoding (see Section 5.3.1 of RFC
       8949 [STD94], which includes a check against duplicate map keys
       and invalid UTF-8).

   To be called a CDE-checking decoder, it MUST NOT present to the
   application a decoded data item that fails one of these checks
   (except maybe via special diagnostic channels with no potential for
   confusion with a correctly CDE-decoded data item).

Appendix D.  Encoding Examples

   The following three tables provide examples of CDE-encoded CBOR data
   items, each giving Diagnostic Notation (EDN
   [I-D.ietf-cbor-edn-literals]), the encoded data item in hexadecimal,
   and a comment.

   Implementers that want to use these examples as test input may be
   interested in the file example-table-input.csv in the github
   repository cbor-wg/draft-ietf-cbor-cde.

D.1.  Integer Value Examples

    +-----------------------+------------------------+----------------+
    | EDN                   | CBOR (hex)             | Comment        |
    +-----------------------+------------------------+----------------+
    | 0                     | 00                     | Smallest       |
    |                       |                        | unsigned       |
    |                       |                        | immediate int  |
    | -1                    | 20                     | Largest        |
    |                       |                        | negative       |
    |                       |                        | immediate int  |
    | 23                    | 17                     | Largest        |



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    |                       |                        | unsigned       |
    |                       |                        | immediate int  |
    | -24                   | 37                     | Smallest       |
    |                       |                        | negative       |
    |                       |                        | immediate int  |
    | 24                    | 1818                   | Smallest       |
    |                       |                        | unsigned one-  |
    |                       |                        | byte int       |
    | -25                   | 3818                   | Largest        |
    |                       |                        | negative one-  |
    |                       |                        | byte int       |
    | 255                   | 18ff                   | Largest        |
    |                       |                        | unsigned one-  |
    |                       |                        | byte int       |
    | -256                  | 38ff                   | Smallest       |
    |                       |                        | negative one-  |
    |                       |                        | byte int       |
    | 256                   | 190100                 | Smallest       |
    |                       |                        | unsigned two-  |
    |                       |                        | byte int       |
    | -257                  | 390100                 | Largest        |
    |                       |                        | negative two-  |
    |                       |                        | byte int       |
    | 65535                 | 19ffff                 | Largest        |
    |                       |                        | unsigned two-  |
    |                       |                        | byte int       |
    | -65536                | 39ffff                 | Smallest       |
    |                       |                        | negative two-  |
    |                       |                        | byte int       |
    | 65536                 | 1a00010000             | Smallest       |
    |                       |                        | unsigned four- |
    |                       |                        | byte int       |
    | -65537                | 3a00010000             | Largest        |
    |                       |                        | negative four- |
    |                       |                        | byte int       |
    | 4294967295            | 1affffffff             | Largest        |
    |                       |                        | unsigned four- |
    |                       |                        | byte int       |
    | -4294967296           | 3affffffff             | Smallest       |
    |                       |                        | negative four- |
    |                       |                        | byte int       |
    | 4294967296            | 1b0000000100000000     | Smallest       |
    |                       |                        | unsigned       |
    |                       |                        | eight-byte int |
    | -4294967297           | 3b0000000100000000     | Largest        |
    |                       |                        | negative       |
    |                       |                        | eight-byte int |
    | 18446744073709551615  | 1bffffffffffffffff     | Largest        |



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    |                       |                        | unsigned       |
    |                       |                        | eight-byte int |
    | -18446744073709551616 | 3bffffffffffffffff     | Smallest       |
    |                       |                        | negative       |
    |                       |                        | eight-byte int |
    | 18446744073709551616  | c249010000000000000000 | Smallest       |
    |                       |                        | unsigned       |
    |                       |                        | bigint         |
    | -18446744073709551617 | c349010000000000000000 | Largest        |
    |                       |                        | negative       |
    |                       |                        | bigint         |
    +-----------------------+------------------------+----------------+

                      Table 4: Integer Value Examples

D.2.  Floating Point Value Examples

   +---------------------------+--------------------+------------------+
   | EDN                       | CBOR (hex)         | Comment          |
   +---------------------------+--------------------+------------------+
   | 0.0                       | f90000             | Zero             |
   | -0.0                      | f98000             | Negative zero    |
   | Infinity                  | f97c00             | Infinity         |
   | -Infinity                 | f9fc00             | -Infinity        |
   | NaN                       | f97e00             | NaN              |
   | NaN                       | f97e01             | NaN with non-    |
   |                           |                    | zero payload     |
   | 5.960464477539063e-8      | f90001             | Smallest         |
   |                           |                    | positive         |
   |                           |                    | 16-bit float     |
   |                           |                    | (subnormal)      |
   | 0.00006097555160522461    | f903ff             | Largest          |
   |                           |                    | positive         |
   |                           |                    | subnormal        |
   |                           |                    | 16-bit float     |
   | 0.00006103515625          | f90400             | Smallest non-    |
   |                           |                    | subnormal        |
   |                           |                    | positive         |
   |                           |                    | 16-bit float     |
   | 65504.0                   | f97bff             | Largest          |
   |                           |                    | positive         |
   |                           |                    | 16-bit float     |
   | 1.401298464324817e-45     | fa00000001         | Smallest         |
   |                           |                    | positive         |
   |                           |                    | 32-bit float     |
   |                           |                    | (subnormal)      |
   | 1.1754942106924411e-38    | fa007fffff         | Largest          |
   |                           |                    | positive         |



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   |                           |                    | subnormal        |
   |                           |                    | 32-bit float     |
   | 1.1754943508222875e-38    | fa00800000         | Smallest non-    |
   |                           |                    | subnormal        |
   |                           |                    | positive         |
   |                           |                    | 32-bit float     |
   | 3.4028234663852886e+38    | fa7f7fffff         | Largest          |
   |                           |                    | positive         |
   |                           |                    | 32-bit float     |
   | 5.0e-324                  | fb0000000000000001 | Smallest         |
   |                           |                    | positive         |
   |                           |                    | 64-bit float     |
   |                           |                    | (subnormal)      |
   | 2.225073858507201e-308    | fb000fffffffffffff | Largest          |
   |                           |                    | positive         |
   |                           |                    | subnormal        |
   |                           |                    | 64-bit float     |
   | 2.2250738585072014e-308   | fb0010000000000000 | Smallest non-    |
   |                           |                    | subnormal        |
   |                           |                    | positive         |
   |                           |                    | 64-bit float     |
   | 1.7976931348623157e+308   | fb7fefffffffffffff | Largest          |
   |                           |                    | positive         |
   |                           |                    | 64-bit float     |
   | -0.0000033333333333333333 | fbbecbf647612f3696 | Arbitrarily      |
   |                           |                    | selected         |
   |                           |                    | number           |
   | 10.559998512268066        | fa4128f5c1         | -"-              |
   | 10.559998512268068        | fb40251eb820000001 | Next in          |
   |                           |                    | succession       |
   | 295147905179352830000.0   | fa61800000         | 2^68             |
   |                           |                    | (diagnostic      |
   |                           |                    | notation         |
   |                           |                    | truncates        |
   |                           |                    | precision)       |
   | 2.0                       | f94000             | Number           |
   |                           |                    | without a        |
   |                           |                    | fractional       |
   |                           |                    | part             |
   | -5.960464477539063e-8     | f98001             | Largest          |
   |                           |                    | negative         |
   |                           |                    | subnormal        |
   |                           |                    | 16-bit float     |
   | -5.960464477539062e-8     | fbbe6fffffffffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | negative         |
   |                           |                    | subnormal        |
   |                           |                    | 16-bit float     |



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   | -5.960464477539064e-8     | fbbe70000000000001 | -"-              |
   | -5.960465188081798e-8     | fab3800001         | -"-              |
   | 0.0000609755516052246     | fb3f0ff7ffffffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | subnormal        |
   |                           |                    | 16-bit float     |
   | 0.000060975551605224616   | fb3f0ff80000000001 | -"-              |
   | 0.000060975555243203416   | fa387fc001         | -"-              |
   | 0.00006103515624999999    | fb3f0fffffffffffff | Adjacent to      |
   |                           |                    | smallest         |
   |                           |                    | 16-bit float     |
   | 0.00006103515625000001    | fb3f10000000000001 | -"-              |
   | 0.00006103516352595761    | fa38800001         | -"-              |
   | 65503.99999999999         | fb40effbffffffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | 16-bit float     |
   | 65504.00000000001         | fb40effc0000000001 | -"-              |
   | 65504.00390625            | fa477fe001         | -"-              |
   | 1.4012984643248169e-45    | fb369fffffffffffff | Adjacent to      |
   |                           |                    | smallest         |
   |                           |                    | subnormal        |
   |                           |                    | 32-bit float     |
   | 1.4012984643248174e-45    | fb36a0000000000001 | -"-              |
   | 1.175494210692441e-38     | fb380fffffbfffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | subnormal        |
   |                           |                    | 32-bit float     |
   | 1.1754942106924412e-38    | fb380fffffc0000001 | -"-              |
   | 1.1754943508222874e-38    | fb380fffffffffffff | Adjacent to      |
   |                           |                    | smallest         |
   |                           |                    | 32-bit float     |
   | 1.1754943508222878e-38    | fb3810000000000001 | -"-              |
   | 3.4028234663852882e+38    | fb47efffffdfffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | 32-bit float     |
   | 3.402823466385289e+38     | fb47efffffe0000001 | -"-              |
   +---------------------------+--------------------+------------------+

                   Table 5: Floating Point Value Examples

D.3.  Failing Examples

    +-----------------------+--------------------------+--------------+
    | EDN                   | CBOR (hex)               | Comment      |
    +-----------------------+--------------------------+--------------+
    | {"b":0,"a":1}         | a2616200616101           | Incorrect    |
    |                       |                          | map key      |
    |                       |                          | ordering     |



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    | [4, 5]                | 98020405                 | Array length |
    |                       |                          | not in       |
    |                       |                          | preferred    |
    |                       |                          | encoding     |
    | 255                   | 1900ff                   | Integer not  |
    |                       |                          | in preferred |
    |                       |                          | encoding     |
    | -18446744073709551617 | c34a00010000000000000000 | Bigint with  |
    |                       |                          | leading zero |
    |                       |                          | bytes        |
    | 10.5                  | fa41280000               | Not in       |
    |                       |                          | preferred    |
    |                       |                          | encoding     |
    | NaN                   | fa7fc00000               | Not in       |
    |                       |                          | preferred    |
    |                       |                          | encoding     |
    | 65536                 | c243010000               | Integer      |
    |                       |                          | value too    |
    |                       |                          | small for    |
    |                       |                          | bigint       |
    | (_ h'01', h'0203')    | 5f4101420203ff           | Indefinite   |
    |                       |                          | length       |
    |                       |                          | encoding     |
    | (Not CBOR)            | f818                     | Simple       |
    |                       |                          | values       |
    |                       |                          | 24..31 not   |
    |                       |                          | in use       |
    | (Not CBOR)            | fc                       | Reserved (ai |
    |                       |                          | = 28..30)    |
    +-----------------------+--------------------------+--------------+

                         Table 6: Failing Examples

Appendix E.  Examples for Preferred Serialization of Integers

   This appendix looks at the set of encoded CBOR data items that
   represent the integer number 1.  Preferred Serialization chooses one
   of them (0x01), which is then always used to encode the number.  The
   CDE encoding constraints include those of preferred serialization.  A
   CDE-checking decoder checks that no other serialization is being used
   in the encoded data item being decoded.










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        +===================================+=====================+
        | Serialization of integer number 1 | Preferred?          |
        +===================================+=====================+
        | 0x01                              | yes (shortest mt0)  |
        +-----------------------------------+---------------------+
        | 0x1801, 0x190001, 0x1a00000001,   | no (mt0, but not    |
        | 0x1b0000000000000001              | shortest argument)  |
        +-----------------------------------+---------------------+
        | 0xc24101                          | no (could use mt0)  |
        +-----------------------------------+---------------------+
        | 0xc2420001, 0xc243000001, etc.    | no (could use mt0,  |
        |                                   | uses leading zeros) |
        +-----------------------------------+---------------------+
        | 0xc25f41004101ff, and similar     | no (could use mt0,  |
        |                                   | uses leading zeros) |
        +-----------------------------------+---------------------+

                Table 7: Serializations of integer number 1

   For the integer number 100000000000000000000 (1 with 20 decimal
   zeros), the only _basic_ serialization is:

   C2                       # tag(2)
      49                    # bytes(9)
         056BC75E2D63100000 #

   (Note that, in addition to this serialization, there are multiple
   serializations that would also count as _preferred_ serializations,
   as the preferred serialization constraint by itself does not exclude
   indefinite length encoding of the byte string that is the content of
   tag 2.)

List of Tables

   1.  Constraints on the Serialization of CBOR (Table 1)
   2.  New control operators to be registered (Table 2)
   3.  A three-layer model of information representation (Table 3)
   4.  Integer Value Examples (Table 4)
   5.  Floating Point Value Examples (Table 5)
   6.  Failing Examples (Table 6)
   7.  Serializations of integer number 1 (Table 7)










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Acknowledgments

   An early version of this document was based on the work of Wolf
   McNally and Christopher Allen as documented in
   [I-D.mcnally-deterministic-cbor], which serves as an example for an
   ALDR ruleset document.  We would like to explicitly acknowledge that
   this work has contributed greatly to shaping the concept of a CBOR
   Common Deterministic Encoding and the use of ALDR rules/rulesets on
   top of that.  Mikolai Gütschow proposed adding Section 2.  Anders
   Rundgren provided most of the initial text that turned into
   Appendix D.

Contributors

   Laurence Lundblade
   Security Theory LLC
   Email: lgl@securitytheory.com


   Laurence provided most of the text that became Appendix A and
   Appendix C.

Author's Address

   Carsten Bormann
   Universität Bremen TZI
   Postfach 330440
   D-28359 Bremen
   Germany
   Phone: +49-421-218-63921
   Email: cabo@tzi.org




















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