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rfc:rfc1924

Network Working Group R. Elz Request for Comments: 1924 University of Melbourne Category: Informational 1 April 1996

             A Compact Representation of IPv6 Addresses

Status of this Memo

 This memo provides information for the Internet community.  This memo
 does not specify an Internet standard of any kind.  Distribution of
 this memo is unlimited.

1. Abstract

 IPv6 addresses, being 128 bits long, need 32 characters to write in
 the general case, if standard hex representation, is used, plus more
 for any punctuation inserted (typically about another 7 characters,
 or 39 characters total).  This document specifies a more compact
 representation of IPv6 addresses, which permits encoding in a mere 20
 bytes.

2. Introduction

 It is always necessary to be able to write in characters the form of
 an address, though in actual use it is always carried in binary.  For
 IP version 4 (IP Classic) the well known dotted quad format is used.
 That is, 10.1.0.23 is one such address.  Each decimal integer
 represents a one octet of the 4 octet address, and consequently has a
 value between 0 and 255 (inclusive).  The written length of the
 address varies between 7 and 15 bytes.
 For IPv6 however, addresses are 16 octets long [IPv6], if the old
 standard form were to be used, addresses would be anywhere between 31
 and 63 bytes, which is, of course, untenable.
 Because of that, IPv6 had chosen to represent addresses using hex
 digits, and use only half as many punctuation characters, which will
 mean addresses of between 15 and 39 bytes, which is still quite long.
 Further, in an attempt to save more bytes, a special format was
 invented, in which a single run of zero octets can be dropped, the
 two adjacent punctuation characters indicate this has happened, the
 number of missing zeroes can be deduced from the fixed size of the
 address.
 In most cases, using genuine IPv6 addresses, one may expect the
 address as written to tend toward the upper limit of 39 octets, as
 long strings of zeroes are likely to be rare, and most of the other

Elz Informational [Page 1] RFC 1924 A Compact Representation of IPv6 Addresses 1 April 1996

 groups of 4 hex digits are likely to be longer than a single non-zero
 digit (just as MAC addresses typically have digits spread throughout
 their length).
 This document specifies a new encoding, which can always represent
 any IPv6 address in 20 octets.  While longer than the shortest
 possible representation of an IPv6 address, this is barely longer
 than half the longest representation, and will typically be shorter
 than the representation of most IPv6 addresses.

3. Current formats

 [AddrSpec] specifies that the preferred text representation of IPv6
 addresses is in one of three conventional forms.
 The preferred form is x:x:x:x:x:x:x:x, where the 'x's are the
 hexadecimal values of the eight 16-bit pieces of the address.
 Examples:
      FEDC:BA98:7654:3210:FEDC:BA98:7654:3210  (39 characters)
      1080:0:0:0:8:800:200C:417A  (25 characters)
 The second, or zero suppressed, form allows "::" to indicate multiple
 groups of suppressed zeroes, hence:
      1080:0:0:0:8:800:200C:417A
 may be represented as
      1080::8:800:200C:417A
 a saving of just 5 characters from this typical address form, and
 still leaving 21 characters.
 In other cases the saving is more dramatic, in the extreme case, the
 address:
      0:0:0:0:0:0:0:0
 that is, the unspecified address, can be written as
      ::
 This is just 2 characters, which is a considerable saving.  However
 such cases will rarely be encountered.

Elz Informational [Page 2] RFC 1924 A Compact Representation of IPv6 Addresses 1 April 1996

 The third possible form mixes the new IPv6 form with the old IPv4
 form, and is intended mostly for transition, when IPv4 addresses are
 embedded into IPv6 addresses.  These can be considerably longer than
 the longest normal IPv6 representation, and will eventually be phased
 out.  Consequently they will not be considered further here.

4. The New Encoding Format

 The new standard way of writing IPv6 addresses is to treat them as a
 128 bit integer, encode that in base 85 notation, then encode that
 using 85 ASCII characters.

4.1. Why 85?

 2^128 is 340282366920938463463374607431768211456.  85^20 is
 387595310845143558731231784820556640625, and thus in 20 digits of
 base 85 representation all possible 2^128 IPv6 addresses can clearly
 be encoded.
 84^20 is 305904398238499908683087849324518834176, clearly not
 sufficient, 21 characters would be needed to encode using base 84,
 this wastage of notational space cannot be tolerated.
 On the other hand, 94^19 is just
 30862366077815087592879016454695419904, also insufficient to encode
 all 2^128 different IPv6 addresses, so 20 characters would be needed
 even with base 94 encoding.  As there are just 94 ASCII characters
 (excluding control characters, space, and del) base 94 is the largest
 reasonable value that can be used.  Even if space were allowed, base
 95 would still require 20 characters.
 Thus, any value between 85 and 94 inclusive could reasonably be
 chosen.  Selecting 85 allows the use of the smallest possible subset
 of the ASCII characters, enabling more characters to be retained for
 other uses, eg, to delimit the address.

4.2. The Character Set

 The character set to encode the 85 base85 digits, is defined to be,
 in ascending order:
           '0'..'9', 'A'..'Z', 'a'..'z', '!', '#', '$', '%', '&', '(',
           ')', '*', '+', '-', ';', '<', '=', '>', '?', '@', '^', '_',
           '`', '{', '|', '}', and '~'.
 This set has been chosen with considerable care.  From the 94
 printable ASCII characters, the following nine were omitted:

Elz Informational [Page 3] RFC 1924 A Compact Representation of IPv6 Addresses 1 April 1996

    '"' and "'", which allow the representation of IPv6 addresses to
    be quoted in other environments where some of the characters in
    the chosen character set may, unquoted, have other meanings.
    ',' to allow lists of IPv6 addresses to conveniently be written,
    and '.' to allow an IPv6 address to end a sentence without
    requiring it to be quoted.
    '/' so IPv6 addresses can be written in standard CIDR
    address/length notation, and ':' because that causes problems when
    used in mail headers and URLs.
    '[' and ']', so those can be used to delimit IPv6 addresses when
    represented as text strings, as they often are for IPv4,
    And last, '\', because it is often difficult to represent in a way
    where it does not appear to be a quote character, including in the
    source of this document.

5. Converting an IPv6 address to base 85.

 The conversion process is a simple one of division, taking the
 remainders at each step, and dividing the quotient again, then
 reading up the page, as is done for any other base conversion.
 For example, consider the address shown above
      1080:0:0:0:8:800:200C:417A
 In decimal, considered as a 128 bit number, that is
 21932261930451111902915077091070067066.
 As we divide that successively by 85 the following remainders emerge:
 51, 34, 65, 57, 58, 0, 75, 53, 37, 4, 19, 61, 31, 63, 12, 66, 46, 70,
 68, 4.
 Thus in base85 the address is:
      4-68-70-46-66-12-63-31-61-19-4-37-53-75-0-58-57-65-34-51.
 Then, when encoded as specified above, this becomes:
      4)+k&C#VzJ4br>0wv%Yp
 This procedure is trivially reversed to produce the binary form of
 the address from textually encoded format.

Elz Informational [Page 4] RFC 1924 A Compact Representation of IPv6 Addresses 1 April 1996

6. Additional Benefit

 Apart from generally reducing the length of an IPv6 address when
 encode in a textual format, this scheme also has the benefit of
 returning IPv6 addresses to a fixed length representation, leading
 zeroes are never omitted, thus removing the ugly and awkward variable
 length representation that has previously been recommended.

7. Implementation Issues

 Many current processors do not find 128 bit integer arithmetic, as
 required for this technique, a trivial operation.  This is not
 considered a serious drawback in the representation, but a flaw of
 the processor designs.
 It may be expected that future processors will address this defect,
 quite possibly before any significant IPv6 deployment has been
 accomplished.

8. Security Considerations

 By encoding addresses in this form, it is less likely that a casual
 observer will be able to immediately detect the binary form of the
 address, and thus will find it harder to make immediate use of the
 address.  As IPv6 addresses are not intended to be learned by humans,
 one reason for which being that they are expected to alter in
 comparatively short timespan, by human perception, the somewhat
 challenging nature of the addresses is seen as a feature.
 Further, the appearance of the address, as if it may be random
 gibberish in a compressed file, makes it much harder to detect by a
 packet sniffer programmed to look for bypassing addresses.

Elz Informational [Page 5] RFC 1924 A Compact Representation of IPv6 Addresses 1 April 1996

9. References

 [IPv6]        Internet Protocol, Version 6 (IPv6) Specification,
               S. Deering, R. Hinden, RFC 1883, January 4, 1996.
 [AddrSpec]    IP Version 6 Addressing Architecture,
               R. Hinden, S. Deering, RFC 1884, January 4, 1996.

10. Author's Address

 Robert Elz
 Computer Science
 University of Melbourne
 Parkville, Victoria, 3052
 Australia
 EMail: kre@munnari.OZ.AU

Elz Informational [Page 6]

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