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+Internet Research Task Force (IRTF) W. Eddy
+Request for Comments: 6256 MTI Systems
+Category: Informational E. Davies
+ISSN: 2070-1721 Folly Consulting
+ May 2011
+
+
+ Using Self-Delimiting Numeric Values in Protocols
+
+Abstract
+
+ Self-Delimiting Numeric Values (SDNVs) have recently been introduced
+ as a field type in proposed Delay-Tolerant Networking protocols.
+ SDNVs encode an arbitrary-length non-negative integer or arbitrary-
+ length bitstring with minimum overhead. They are intended to provide
+ protocol flexibility without sacrificing economy and to assist in
+ future-proofing protocols under development. This document describes
+ formats and algorithms for SDNV encoding and decoding, along with
+ notes on implementation and usage. This document is a product of the
+ Delay-Tolerant Networking Research Group and has been reviewed by
+ that group. No objections to its publication as an RFC were raised.
+
+Status of This Memo
+
+ This document is not an Internet Standards Track specification; it is
+ published for informational purposes.
+
+ This document is a product of the Internet Research Task Force
+ (IRTF). The IRTF publishes the results of Internet-related research
+ and development activities. These results might not be suitable for
+ deployment. This RFC represents the consensus of the Delay-Tolerant
+ Networking Research Group of the Internet Research Task Force (IRTF).
+ Documents approved for publication by the IRSG are not a candidate
+ for any level of Internet Standard; see Section 2 of RFC 5741.
+
+ Information about the current status of this document, any errata,
+ and how to provide feedback on it may be obtained at
+ http://www.rfc-editor.org/info/rfc6256.
+
+
+
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+Eddy & Davies Informational [Page 1]
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+RFC 6256 Using SDNVs May 2011
+
+
+Copyright Notice
+
+ Copyright (c) 2011 IETF Trust and the persons identified as the
+ document authors. All rights reserved.
+
+ This document is subject to BCP 78 and the IETF Trust's Legal
+ Provisions Relating to IETF Documents
+ (http://trustee.ietf.org/license-info) in effect on the date of
+ publication of this document. Please review these documents
+ carefully, as they describe your rights and restrictions with respect
+ to this document.
+
+Table of Contents
+
+ 1. Introduction ....................................................2
+ 1.1. Problems with Fixed-Value Fields ...........................3
+ 1.2. SDNVs for DTN Protocols ....................................4
+ 1.3. SDNV Usage .................................................5
+ 2. Definition of SDNVs .............................................6
+ 3. Basic Algorithms ................................................8
+ 3.1. Encoding Algorithm .........................................8
+ 3.2. Decoding Algorithm .........................................9
+ 3.3. Limitations of Implementations ............................10
+ 4. Comparison to Alternatives .....................................10
+ 5. Security Considerations ........................................13
+ 6. Acknowledgements ...............................................13
+ 7. Informative References .........................................14
+ Appendix A. SDNV Python Source Code ...............................15
+
+1. Introduction
+
+ This document is a product of the Internet Research Task Force (IRTF)
+ Delay-Tolerant Networking (DTN) Research Group (DTNRG). The document
+ has received review and support within the DTNRG, as discussed in the
+ Acknowledgements section of this document.
+
+ This document begins by describing the drawbacks of using fixed-width
+ protocol fields. It then provides some background on the Self-
+ Delimiting Numeric Values (SDNVs) proposed for use in DTN protocols,
+ and motivates their potential applicability in other networking
+ protocols. The DTNRG has created SDNVs to meet the challenges it
+ attempts to solve, and it has been noted that SDNVs closely resemble
+ certain constructs within ASN.1 and even older ITU protocols, so the
+ problems are not new or unique to DTN. SDNVs focus strictly on
+ numeric values or bitstrings, while other mechanisms have been
+ developed for encoding more complex data structures, such as ASN.1
+
+
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+RFC 6256 Using SDNVs May 2011
+
+
+ encoding rules and Haverty's Message Services Data Transmission
+ Protocol (MSDTP) [RFC0713]. Because of this focus, SDNVs can be
+ quickly implemented with only a small amount of code.
+
+ SDNVs are tersely defined in both the Bundle Protocol [RFC5050] and
+ Licklider Transmission Protocol (LTP) [RFC5326] specifications, due
+ to the flow of document production in the DTNRG. This document
+ clarifies and further explains the motivations and engineering
+ decisions behind SDNVs.
+
+1.1. Problems with Fixed-Value Fields
+
+ Protocol designers commonly face an optimization problem in
+ determining the proper size for header fields. There is a strong
+ desire to keep fields as small as possible, in order to reduce the
+ protocol's overhead and also allow for fast processing. Since
+ protocols can be used for many years (even decades) after they are
+ designed, and networking technology has tended to change rapidly, it
+ is not uncommon for the use, deployment, or performance of a
+ particular protocol to be limited or infringed upon by the length of
+ some header field being too short. Two well-known examples of this
+ phenomenon are the TCP-advertised receive window and the IPv4 address
+ length.
+
+ TCP segments contain an advertised receive window field that is fixed
+ at 16 bits [RFC0793], encoding a maximum value of around 65
+ kilobytes. The purpose of this value is to provide flow control, by
+ allowing a receiver to specify how many sent bytes its peer can have
+ outstanding (unacknowledged) at any time, thus allowing the receiver
+ to limit its buffer size. As network speeds have grown by several
+ orders of magnitude since TCP's inception, the combination of the 65
+ kilobyte maximum advertised window and long round-trip times
+ prevented TCP senders from being able to achieve the high throughput
+ that the underlying network supported. This limitation was remedied
+ through the use of the Window Scale option [RFC1323], which provides
+ a multiplier for the advertised window field. However, the Window
+ Scale multiplier is fixed for the duration of the connection,
+ requires support from each end of a TCP connection, and limits the
+ precision of the advertised receive window, so this is certainly a
+ less-than-ideal solution. Because of the field width limit in the
+ original design however, the Window Scale is necessary for TCP to
+ reach high sending rates.
+
+ An IPv4 address is fixed at 32 bits [RFC0791] (as a historical note,
+ an early version of the IP header format specification in [IEN21]
+ used variable-length addresses in multiples of 8 bits up to 120
+ bits). Due to the way that subnetting and assignment of address
+ blocks was performed, the number of IPv4 addresses has been seen as a
+
+
+
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+RFC 6256 Using SDNVs May 2011
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+
+ limit to the growth of the Internet [Hain05]. Two divergent paths to
+ solve this problem have been the use of Network Address Translators
+ (NATs) and the development of IPv6. NATs have caused a number of
+ other issues and problems [RFC2993], leading to increased complexity
+ and fragility, as well as forcing workarounds to be engineered for
+ many other protocols to function within a NATed environment. The
+ IPv6 solution's transitional work has been underway for several
+ years, but has still only just begun to have visible impact on the
+ global Internet.
+
+ Of course, in both the case of the TCP receive window and IPv4
+ address length, the field size chosen by the designers seemed like a
+ good idea at the time. The fields were more than big enough for the
+ originally perceived usage of the protocols, and yet were small
+ enough to allow the headers to remain compact and relatively easy and
+ efficient to parse on machines of the time. The fixed sizes that
+ were defined represented a trade-off between the scalability of the
+ protocol versus the overhead and efficiency of processing. In both
+ cases, these engineering decisions turned out to be painfully
+ restrictive in the longer term.
+
+1.2. SDNVs for DTN Protocols
+
+ In specifications for the DTN Bundle Protocol (BP) [RFC5050] and
+ Licklider Transmission Protocol (LTP) [RFC5326], SDNVs have been used
+ for several fields including identifiers, payload/header lengths, and
+ serial (sequence) numbers. SDNVs were developed for use in these
+ types of fields, to avoid sending more bytes than needed, as well as
+ avoiding fixed sizes that may not end up being appropriate. For
+ example, since LTP is intended primarily for use in long-delay
+ interplanetary communications [RFC5325], where links may be fairly
+ low in capacity, it is desirable to avoid the header overhead of
+ routinely sending a 64-bit field where a 16-bit field would suffice.
+ Since many of the nodes implementing LTP are expected to be beyond
+ the current range of human spaceflight, upgrading their on-board LTP
+ implementations to use longer values if the defined fields are found
+ to be too short would also be problematic. Furthermore, extensions
+ similar in mechanism to TCP's Window Scale option are unsuitable for
+ use in DTN protocols since, due to high delays, DTN protocols must
+ avoid handshaking and configuration parameter negotiation to the
+ greatest extent possible. All of these reasons make the choice of
+ SDNVs for use in DTN protocols attractive.
+
+
+
+
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+1.3. SDNV Usage
+
+ In short, an SDNV is simply a way of representing non-negative
+ integers (both positive integers of arbitrary magnitude and 0),
+ without expending much unnecessary space. This definition allows
+ SDNVs to represent many common protocol header fields, such as:
+
+ o Random identification fields as used in the IPsec Security
+ Parameters Index or in IP headers for fragment reassembly (Note:
+ the 16-bit IP ID field for fragment reassembly was recently found
+ to be too short in some environments [RFC4963]).
+
+ o Sequence numbers as in TCP or the Stream Control Transmission
+ Protocol (SCTP).
+
+ o Values used in cryptographic algorithms such as RSA keys, Diffie-
+ Hellman key agreement, or coordinates of points on elliptic
+ curves.
+
+ o Message lengths as used in file transfer protocols.
+
+ o Nonces and cookies.
+
+ As any bitfield can be interpreted as an unsigned integer, SDNVs can
+ also encode arbitrary-length bitfields, including bitfields
+ representing signed integers or other data types; however, this
+ document assumes SDNV encoding and decoding in terms of unsigned
+ integers. Implementations may differ in the interface that they
+ provide to SDNV encoding and decoding functions, in terms of whether
+ the values are numeric, bitfields, etc.; this detail does not alter
+ the representation or algorithms described in this document.
+
+ The use of SDNVs rather than fixed-length fields gives protocol
+ designers the ability to ameliorate the consequences of making
+ difficult-to-reverse field-sizing decisions, as the SDNV format grows
+ and shrinks depending on the particular value encoded. SDNVs do not
+ necessarily provide optimal encodings for values of any particular
+ length; however, they allow protocol designers to avoid potential
+ blunders in assigning fixed lengths and remove the complexity
+ involved with either negotiating field lengths or constructing
+ protocol extensions. However, if SDNVs are used to encode bitfields,
+ it is essential that the sender and receiver have a consistent
+ interpretation of the decoded value. This is discussed further in
+ Section 2.
+
+ To our knowledge, at this time, no IETF transport or network-layer
+ protocol designed for use outside of the DTN domain has proposed to
+ use SDNVs; however, there is no inherent reason not to use SDNVs more
+
+
+
+Eddy & Davies Informational [Page 5]
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+ broadly in the future. The two examples cited here, of fields that
+ have proven too small in general Internet protocols, are only a small
+ sampling of the much larger set of similar instances that the authors
+ can think of. Outside the Internet protocols, within ASN.1 and
+ previous ITU protocols, constructs very similar to SDNVs have been
+ used for many years due to engineering concerns very similar to those
+ facing the DTNRG.
+
+ Many protocols use a Type-Length-Value method for encoding variable-
+ length fields (e.g., TCP's options format or many of the fields in
+ the Internet Key Exchange Protocol version 2 (IKEv2)). An SDNV is
+ equivalent to combining the length and value portions of this type of
+ field, with the overhead of the length portion amortized out over the
+ bytes of the value. The penalty paid for this in an SDNV may be
+ several extra bytes for long values (e.g., 1024-bit RSA keys). See
+ Section 4 for further discussion and a comparison.
+
+ As is shown in later sections, for large values, the current SDNV
+ scheme is fairly inefficient in terms of space (1/8 of the bits are
+ overhead) and not particularly easy to encode/decode in comparison to
+ alternatives. The best use of SDNVs may often be to define the
+ Length field of a TLV structure to be an SDNV whose value is the
+ length of the TLV's Value field. In this way, one can avoid forcing
+ large numbers from being directly encoded as an SDNV, yet retain the
+ extensibility that using SDNVs grants.
+
+2. Definition of SDNVs
+
+ Early in the work of the DTNRG, it was agreed that the properties of
+ an SDNV were useful for DTN protocols. The exact SDNV format used by
+ the DTNRG evolved somewhat over time before the publication of the
+ initial RFCs on LTP and BP. An earlier version (see the initial
+ version of LTP Internet Draft [BRF04]) bore a resemblance to the
+ ASN.1 [ASN1] Basic Encoding Rules (BER) [X.690] for lengths (Section
+ 8.1.3 of X.690). The current SDNV format is the one used by ASN.1
+ BER for encoding tag identifiers greater than or equal to 31 (Section
+ 8.1.2.4.2 of X.690). A comparison between the current SDNV format
+ and the early SDNV format is made in Section 4.
+
+ The format currently used is very simple. Before encoding, an
+ integer is represented as a left-to-right bitstring beginning with
+ its most significant bit and ending with its least significant bit.
+ If the bitstring's length is not a multiple of 7, then the string is
+ left-padded with zeros. When transmitted, the bits are encoded into
+ a series of bytes. The low-order 7 bits of each byte in the encoded
+ format are taken left-to-right from the integer's bitstring
+
+
+
+
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+ representation. The most significant bit of each byte specifies
+ whether it is the final byte of the encoded value (when it holds a
+ 0), or not (when it holds a 1).
+
+ For example:
+
+ o 1 (decimal) is represented by the bitstring "0000001" and encoded
+ as the single byte 0x01 (in hexadecimal).
+
+ o 128 is represented by the bitstring "10000001 00000000" and
+ encoded as the bytes 0x81 followed by 0x00.
+
+ o Other values can be found in the test vectors of the source code
+ in Appendix A.
+
+ To be perfectly clear, and avoid potential interoperability issues
+ (as have occurred with ASN.1 BER time values), we explicitly state
+ two considerations regarding zero-padding. (1) When encoding SDNVs,
+ any leading (most significant) zero bits in the input number might be
+ discarded by the SDNV encoder. Protocols that use SDNVs should not
+ rely on leading-zeros being retained after encoding and decoding
+ operations. (2) When decoding SDNVs, the relevant number of leading
+ zeros required to pad up to a machine word or other natural data unit
+ might be added. These are put in the most significant positions in
+ order to not change the value of the number. Protocols using SDNVs
+ should consider situations where lost zero-padding may be
+ problematic.
+
+ The issues of zero-padding are particularly relevant where an SDNV is
+ being used to represent a bitfield to be transmitted by a protocol.
+ The specification of the protocol and any associated IANA registry
+ should specify the allocation and usage of bit positions within the
+ unencoded field. Unassigned and reserved bits in the unencoded field
+ will be treated as zeros by the SDNV encoding prior to transmission.
+ Assuming the bit positions are numbered starting from 0 at the least
+ significant bit position in the integer representation, then if
+ higher-numbered positions in the field contain all zeros, the
+ encoding process may not transmit these bits explicitly (e.g., if all
+ the bit positions numbered 7 or higher are zeros, then the
+ transmitted SDNV can consist of just one octet). On reception, the
+ decoding process will treat any untransmitted higher-numbered bits as
+ zeros. To ensure correct operation of the protocol, the sender and
+ receiver must have a consistent interpretation of the width of the
+ bitfield. This can be achieved in various ways:
+
+ o the bitfield width is implicitly defined by the version of the
+ protocol in use in the sender and receiver,
+
+
+
+
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+ o sending the width of the bitfield explicitly in a separate item,
+
+ o the higher-numbered bits can be safely ignored by the receiver
+ (e.g., because they represent optimizations), or
+
+ o marking the highest-numbered bit by prepending a '1' bit to the
+ bitfield.
+
+ The protocol specification must record how the consistent
+ interpretation is achieved.
+
+ The SDNV encoding technique is also known as Variable Byte Encoding
+ (see Section 5.3.1 of [Manning09]) and is equivalent to Base-128
+ Elias Gamma Encoding (see Section 5.3.2 of [Manning09] and Section
+ 3.5 of [Sayood02]). However, the primary motivation for SDNVs is to
+ provide an extensible protocol framework rather than optimal data
+ compression, which is the motivation behind the other uses of the
+ technique. [Manning09] points out that the key feature of this
+ encoding is that it is "prefix free" meaning that no code is a prefix
+ of any other, which is an alternative way of expressing the self-
+ delimiting property.
+
+3. Basic Algorithms
+
+ This section describes some simple algorithms for creating and
+ parsing SDNV fields. These may not be the most efficient algorithms
+ possible, however, they are easy to read, understand, and implement.
+ Appendix A contains Python source code implementing the routines
+ described here. The algorithms presented here are convenient for
+ converting between an internal data block and serialized data stream
+ associated with a transmission device. Other approaches are possible
+ with different efficiencies and trade-offs.
+
+3.1. Encoding Algorithm
+
+ There is a very simple algorithm for the encoding operation that
+ converts a non-negative integer (value n, of length 1+floor(log n)
+ bits) into an SDNV. This algorithm takes n as its only argument and
+ returns a string of bytes:
+
+ o (Initial Step) Set a variable X to a byte sharing the least
+ significant 7 bits of n, and with 0 in the most significant bit,
+ and a variable Y to n, right-shifted by 7 bits.
+
+ o (Recursion Step) If Y == 0, return X. Otherwise, set Z to the
+ bitwise-or of 0x80 with the 7 least significant bits of Y, and
+ append Z to X. Right-shift Y by 7 bits and repeat the Recursion
+ Step.
+
+
+
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+
+ This encoding algorithm has a time complexity of O(log n), since it
+ takes a number of steps equal to ceil(n/7), and no additional space
+ beyond the size of the result (8/7 log n) is required. One aspect of
+ this algorithm is that it assumes strings can be efficiently appended
+ to new bytes. One way to implement this is to allocate a buffer for
+ the expected length of the result and fill that buffer one byte at a
+ time from the right end.
+
+ If, for some reason, an implementation requires an encoded SDNV to be
+ some specific length (possibly related to a machine word), any
+ leftmost zero-padding included needs to properly set the high-order
+ bit in each byte of padding.
+
+3.2. Decoding Algorithm
+
+ Decoding SDNVs is a more difficult operation than encoding them, due
+ to the fact that no bound on the resulting value is known until the
+ SDNV is parsed, at which point the value itself is already known.
+ This means that if space is allocated in advance to hold the value
+ that results from decoding an SDNV, in general, it is not known
+ whether this space will be large enough until it is 7 bits away from
+ being overflowed. However, as specified in Section 3.3, protocols
+ using SDNVs must specify the largest number of bits that an
+ implementation is expected to handle, which mitigates this problem.
+
+ o (Initial Step) Set the result to 0. Set an index to the first
+ byte of the encoded SDNV.
+
+ o (Recursion Step) Shift the result left 7 bits. Add the low-order
+ 7 bits of the value at the index to the result. If the high-order
+ bit under the pointer is a 1, advance the index by one byte within
+ the encoded SDNV and repeat the Recursion Step, otherwise return
+ the current value of the result.
+
+ This decoding algorithm takes no more additional space than what is
+ required for the result (7/8 the length of the SDNV) and the pointer.
+ The complication is that before the result can be left-shifted in the
+ Recursion Step, an implementation needs to first make sure that this
+ will not cause any bits to be lost, and re-allocate a larger piece of
+ memory for the result, if required. The pure time complexity is the
+ same as for the encoding algorithm given, but if re-allocation is
+ needed due to the inability to predict the size of the result,
+ decoding may be slower.
+
+ These decoding steps include removal of any leftmost zero-padding
+ that might be used by an encoder to create encodings of a certain
+ length.
+
+
+
+
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+
+3.3. Limitations of Implementations
+
+ Because of efficiency considerations or convenience of internal
+ representation of decoded integers, implementations may choose to
+ limit the number of bits in SDNVs that they will handle. To avoid
+ interoperability problems, any protocol that uses SDNVs must specify
+ the largest number of bits in an SDNV that an implementation of that
+ protocol is expected to handle.
+
+ For example, Section 4.1 of [RFC5050] specifies that implementations
+ of the DTN Bundle Protocol are not required to handle SDNVs with more
+ than 64 bits in their unencoded value. Accordingly, integer values
+ transmitted in SDNVs have an upper limit and SDNV-encoded flag fields
+ must be limited to 64 bit positions in any future revisions of the
+ protocol unless the restriction is altered.
+
+4. Comparison to Alternatives
+
+ This section compares three alternative ways of implementing the
+ concept of SDNVs: (1) the TLV scheme commonly used in the Internet
+ family, and many other families of protocols, (2) the old style of
+ SDNVs (both the SDNV-8 and SDNV-16) defined in an early stage of
+ LTP's development [BRF04], and (3) the current SDNV format.
+
+ The TLV method uses two fixed-length fields to hold the Type and
+ Length elements that then imply the syntax and semantics of the Value
+ element. This is only similar to an SDNV in that the value element
+ can grow or shrink within the bounds capable of being conveyed by the
+ Length field. Two fundamental differences between TLVs and SDNVs are
+ that through the Type element, TLVs also contain some notion of what
+ their contents are semantically, while SDNVs are simply generic non-
+ negative integers, and protocol engineers still have to choose fixed-
+ field lengths for the Type and Length fields in the TLV format.
+
+ Some protocols use TLVs where the value conveyed within the Length
+ field needs to be decoded into the actual length of the Value field.
+ This may be accomplished through simple multiplication, left-
+ shifting, or a look-up table. In any case, this tactic limits the
+ granularity of the possible Value lengths, and can contribute some
+ degree of bloat if Values do not fit neatly within the available
+ decoded Lengths.
+
+ In the SDNV format originally used by LTP, parsing the first byte of
+ the SDNV told an implementation how much space was required to hold
+ the contained value. There were two different types of SDNVs defined
+ for different ranges of use. The SDNV-8 type could hold values up to
+ 127 in a single byte, while the SDNV-16 type could hold values up to
+ 32,767 in 2 bytes. Both formats could encode values requiring up to
+
+
+
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+
+
+ N bytes in N+2 bytes, where N<127. The major difference between this
+ old SDNV format and the current SDNV format is that the new format is
+ not as easily decoded as the old format was, but the new format also
+ has absolutely no limitation on its length.
+
+ The advantage in ease of parsing the old format manifests itself in
+ two aspects: (1) the size of the value is determinable ahead of time,
+ in a way equivalent to parsing a TLV, and (2) the actual value is
+ directly encoded and decoded, without shifting and masking bits as is
+ required in the new format. For these reasons, the old format
+ requires less computational overhead to deal with, but is also very
+ limited in that it can only hold a 1024-bit number, at maximum.
+ Since according to IETF Best Current Practices, an asymmetric
+ cryptography key needed to last for a long term requires using moduli
+ of over 1228 bits [RFC3766], this could be seen as a severe
+ limitation of the old style of SDNVs, from which the currently used
+ style does not suffer.
+
+ Table 1 compares the maximum values that can be encoded into SDNVs of
+ various lengths using the old SDNV-8/16 method and the current SDNV
+ method. The only place in this table where SDNV-16 is used rather
+ than SDNV-8 is in the 2-byte row. Starting with a single byte, the
+ two methods are equivalent, but when using 2 bytes, the old method is
+ a more compact encoding by one bit. From 3 to 7 bytes of length
+ though, the current SDNV format is more compact, since it only
+ requires one bit per byte of overhead, whereas the old format used a
+ full byte. Thus, at 8 bytes, both schemes are equivalent in
+ efficiency since they both use 8 bits of overhead. Up to 129 bytes,
+ the old format is more compact than the current one, although after
+ this, limit it becomes unusable.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+ +-------+---------------+-------------+---------------+-------------+
+ | Bytes | SDNV-8/16 | SDNV | SDNV-8/16 | SDNV |
+ | | Maximum Value | Maximum | Overhead Bits | Overhead |
+ | | | Value | | Bits |
+ +-------+---------------+-------------+---------------+-------------+
+ | 1 | 127 | 127 | 1 | 1 |
+ | | | | | |
+ | 2 | 32,767 | 16,383 | 1 | 2 |
+ | | | | | |
+ | 3 | 65,535 | 2,097,151 | 8 | 3 |
+ | | | | | |
+ | 4 | 2^24 - 1 | 2^28 - 1 | 8 | 4 |
+ | | | | | |
+ | 5 | 2^32 - 1 | 2^35 - 1 | 8 | 5 |
+ | | | | | |
+ | 6 | 2^40 - 1 | 2^42 - 1 | 8 | 6 |
+ | | | | | |
+ | 7 | 2^48 - 1 | 2^49 - 1 | 8 | 7 |
+ | | | | | |
+ | 8 | 2^56 - 1 | 2^56 - 1 | 8 | 8 |
+ | | | | | |
+ | 9 | 2^64 - 1 | 2^63 - 1 | 8 | 9 |
+ | | | | | |
+ | 10 | 2^72 - 1 | 2^70 - 1 | 8 | 10 |
+ | | | | | |
+ | 16 | 2^120 - 1 | 2^112 - 1 | 8 | 16 |
+ | | | | | |
+ | 32 | 2^248 - 1 | 2^224 - 1 | 8 | 32 |
+ | | | | | |
+ | 64 | 2^504 - 1 | 2^448 - 1 | 8 | 64 |
+ | | | | | |
+ | 128 | 2^1016 - 1 | 2^896 - 1 | 8 | 128 |
+ | | | | | |
+ | 129 | 2^1024 - 1 | 2^903 - 1 | 8 | 129 |
+ | | | | | |
+ | 130 | N/A | 2^910 - 1 | N/A | 130 |
+ | | | | | |
+ | 256 | N/A | 2^1792 - 1 | N/A | 256 |
+ +-------+---------------+-------------+---------------+-------------+
+
+ Table 1
+
+ Suggested usages of the SDNV format that leverage its strengths and
+ limit the effects of its weaknesses are discussed in Section 1.3.
+
+ Another aspect of the comparison between SDNVs and alternatives using
+ fixed-length fields is the result of errors in transmission. Bit-
+ errors in an SDNV can result in either errors in the decoded value,
+
+
+
+Eddy & Davies Informational [Page 12]
+
+RFC 6256 Using SDNVs May 2011
+
+
+ or parsing errors in subsequent fields of the protocol. In fixed-
+ length fields, bit errors always result in errors to the decoded
+ value rather than parsing errors in subsequent fields. If the
+ decoded values from either type of field encoding (SDNV or fixed-
+ length) are used as indexes, offsets, or lengths of further fields in
+ the protocol, similar failures result.
+
+5. Security Considerations
+
+ The only security considerations with regard to SDNVs are that code
+ that parses SDNVs should have bounds-checking logic and be capable of
+ handling cases where an SDNV's value is beyond the code's ability to
+ parse. These precautions can prevent potential exploits involving
+ SDNV decoding routines.
+
+ Stephen Farrell noted that very early definitions of SDNVs also
+ allowed negative integers. This was considered a potential security
+ hole, since it could expose implementations to underflow attacks
+ during SDNV decoding. There is a precedent in that many existing TLV
+ decoders map the Length field to a signed integer and are vulnerable
+ in this way. An SDNV decoder should be based on unsigned types and
+ not have this issue.
+
+6. Acknowledgements
+
+ Scott Burleigh, Manikantan Ramadas, Michael Demmer, Stephen Farrell,
+ and other members of the IRTF DTN Research Group contributed to the
+ development and usage of SDNVs in DTN protocols. George Jones and
+ Keith Scott from Mitre, Lloyd Wood, Gerardo Izquierdo, Joel Halpern,
+ Peter TB Brett, Kevin Fall, and Elwyn Davies also contributed useful
+ comments on and criticisms of this document. DTNRG last call
+ comments on the document were sent to the mailing list by Lloyd Wood,
+ Will Ivancic, Jim Wyllie, William Edwards, Hans Kruse, Janico
+ Greifenberg, Teemu Karkkainen, Stephen Farrell, and Scott Burleigh.
+ Further constructive comments from Dave Crocker, Lachlan Andrew, and
+ Michael Welzl were incorporated.
+
+ Work on this document was performed at NASA's Glenn Research Center,
+ in support of the NASA Space Communications Architecture Working
+ Group (SCAWG), NASA's Earth Science Technology Office (ESTO), and the
+ FAA/Eurocontrol Future Communications Study (FCS) in the 2005-2007
+ time frame, while the editor was an employee of Verizon Federal
+ Network Systems.
+
+
+
+
+
+
+
+
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+
+RFC 6256 Using SDNVs May 2011
+
+
+7. Informative References
+
+ [ASN1] ITU-T Rec. X.680, "Abstract Syntax Notation One (ASN.1).
+ Specification of Basic Notation", ISO/IEC 8824-1:2002,
+ 2002.
+
+ [BRF04] Burleigh, S., Ramadas, M., and S. Farrell, "Licklider
+ Transmission Protocol", Work in Progress, May 2004.
+
+ [Hain05] Hain, T., "A Pragmatic Report on IPv4 Address Space
+ Consumption", Internet Protocol Journal Vol. 8, No. 3,
+ September 2005.
+
+ [IEN21] Cerf, V. and J. Postel, "Specification of Internetwork
+ Transmission Control Program: TCP Version 3", Internet
+ Experimental Note 21, January 1978.
+
+ [Manning09] Manning, c., Raghavan, P., and H. Schuetze,
+ "Introduction to Information Retrieval", Cambridge
+ University Press ISBN-13: 978-0521865715, 2009,
+ <http://informationretrieval.org/>.
+
+ [RFC0713] Haverty, J., "MSDTP-Message Services Data Transmission
+ Protocol", RFC 713, April 1976.
+
+ [RFC0791] Postel, J., "Internet Protocol", STD 5, RFC 791,
+ September 1981.
+
+ [RFC0793] Postel, J., "Transmission Control Protocol", STD 7,
+ RFC 793, September 1981.
+
+ [RFC1323] Jacobson, V., Braden, B., and D. Borman, "TCP Extensions
+ for High Performance", RFC 1323, May 1992.
+
+ [RFC2993] Hain, T., "Architectural Implications of NAT", RFC 2993,
+ November 2000.
+
+ [RFC3766] Orman, H. and P. Hoffman, "Determining Strengths For
+ Public Keys Used For Exchanging Symmetric Keys", BCP 86,
+ RFC 3766, April 2004.
+
+ [RFC4963] Heffner, J., Mathis, M., and B. Chandler, "IPv4
+ Reassembly Errors at High Data Rates", RFC 4963,
+ July 2007.
+
+ [RFC5050] Scott, K. and S. Burleigh, "Bundle Protocol
+ Specification", RFC 5050, November 2007.
+
+
+
+
+Eddy & Davies Informational [Page 14]
+
+RFC 6256 Using SDNVs May 2011
+
+
+ [RFC5325] Burleigh, S., Ramadas, M., and S. Farrell, "Licklider
+ Transmission Protocol - Motivation", RFC 5325,
+ September 2008.
+
+ [RFC5326] Ramadas, M., Burleigh, S., and S. Farrell, "Licklider
+ Transmission Protocol - Specification", RFC 5326,
+ September 2008.
+
+ [Sayood02] Sayood, K., "Lossless Data Compression", Academic
+ Press ISBN-13: 978-0126208610, December 2002,
+ <http://books.google.co.uk/books?id=LjQiGwyabVwC>.
+
+ [X.690] ITU-T Rec. X.690, "Abstract Syntax Notation One (ASN.1).
+ Encoding Rules: Specification of Basic Encoding Rules
+ (BER), Canonical Encoding Rules (CER) and Distinguished
+ Encoding Rules (DER)", ISO/IEC 8825-1:2002, 2002.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+
+Appendix A. SDNV Python Source Code
+
+ # This code may be freely copied. Attribution would be appreciated.
+ #
+ # sdnv_decode() takes a string argument (s), which is assumed to be
+ # an SDNV, and optionally a number (slen) for the maximum number of
+ # bytes to parse from the string. The function returns a pair of
+ # the non-negative integer n that is the numeric value encoded in
+ # the SDNV, and integer that is the distance parsed into the input
+ # string. If the slen argument is not given (or is not a non-zero
+ # number) then, s is parsed up to the first byte whose high-order
+ # bit is 0 -- the length of the SDNV portion of s does not have to
+ # be pre-computed by calling code. If the slen argument is given
+ # as a non-zero value, then slen bytes of s are parsed. The value
+ # for n of -1 is returned for any type of parsing error.
+ #
+ # NOTE: In python, integers can be of arbitrary size. In other
+ # languages, such as C, SDNV-parsing routines should take
+ # precautions to avoid overflow (e.g., by using the Gnu MP library,
+ # or similar).
+ #
+ def sdnv_decode(s, slen=0):
+ n = long(0)
+ for i in range(0, len(s)):
+ v = ord(s[i])
+ n = n<<7
+ n = n + (v & 0x7F)
+ if v>>7 == 0:
+ slen = i+1
+ break
+ elif i == len(s)-1 or (slen != 0 and i > slen):
+ n = -1 # reached end of input without seeing end of SDNV
+ return (n, slen)
+
+ # sdnv_encode() returns the SDNV-encoded string that represents n.
+ # An empty string is returned if n is not a non-negative integer
+ def sdnv_encode(n):
+ r = ""
+ # validate input
+ if n >= 0 and (type(n) in [type(int(1)), type(long(1))]):
+ flag = 0
+ done = False
+ while not done:
+ # encode lowest 7 bits from n
+ newbits = n & 0x7F
+ n = n>>7
+ r = chr(newbits + flag) + r
+ if flag == 0:
+
+
+
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+
+
+ flag = 0x80
+ if n == 0:
+ done = True
+ return r
+
+
+ # test cases from LTP and BP internet-drafts, only print failures
+ def sdnv_test():
+ tests = [(0xABC, chr(0x95) + chr(0x3C)),
+ (0x1234, chr(0xA4) + chr (0x34)),
+ (0x4234, chr(0x81) + chr(0x84) + chr(0x34)),
+ (0x7F, chr(0x7F))]
+
+ for tp in tests:
+ # test encoding function
+ if sdnv_encode(tp[0]) != tp[1]:
+ print "sdnv_encode fails on input %s" % hex(tp[0])
+ # test decoding function
+ if sdnv_decode(tp[1])[0] != tp[0]:
+ print "sdnv_decode fails on input %s, giving %s" % \
+ (hex(tp[0]), sdnv_decode(tp[1]))
+
+Authors' Addresses
+
+ Wesley M. Eddy
+ MTI Systems
+ NASA Glenn Research Center
+ MS 500-ASRC; 21000 Brookpark Rd
+ Cleveland, OH 44135
+
+ Phone: 216-433-6682
+ EMail: wes@mti-systems.com
+
+
+ Elwyn Davies
+ Folly Consulting
+ Soham
+ UK
+
+ Phone:
+ EMail: elwynd@folly.org.uk
+ URI:
+
+
+
+
+
+
+
+
+
+Eddy & Davies Informational [Page 17]
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