Constant-weight code: Difference between revisions

Revision as of 11:48, 3 April 2012

Revision as of 05:55, 24 April 2012

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Binary constant-weight codes have several applications, including [[Frequency-hopping spread spectrum|frequency hopping]] in [[Global System for Mobile Communications|GSM]] networks.<ref name="smith">D. H. Smith, L. A. Hughes and S. Perkins (2006). "[http://www.combinatorics.org/Volume_13/Abstracts/v13i1a2.html A New Table of Constant Weight Codes of Length Greater than 28]". ''The Electronic Journal of Combinatorics'' '''13'''.</ref>

Most [[barcode]]s use a binary constant-weight code to simplify automatically setting the threshold.

Most [[line code]]s use either a constant-weight code, or a nearly-constant-weight [[paired disparity code]].

In addition to use as error correction codes, the large space between code words can also be used in the design of [[asynchronous circuit]]s such as [[delay insensitive circuit]]s.

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Some of the more notable uses of constant-weight codes include

[[biphase mark code]] uses a 1 of 2 code;

[[pulse-position modulation]] uses a 1 of n code;

[[Code 39]] uses a 3 of 9 code;

[[6b/8b encoding]] uses a 4 of 8 code;

[[bi-quinary coded decimal]] code uses a 2 of 7 code,

etc.

== References ==