Constant-weight code: Difference between revisions

Revision as of 05:33, 28 April 2012

Revision as of 05:53, 28 April 2012

Line 1:

{{mergefrom|balanced code|date=April 2012}}

In [[coding theory]], a '''constant-weight code''', also called an '''m of n code''', is an [[error detection and correction]] code where all codewords share the same [[Hamming weight]]. The theory is closely connected to that of [[Combinatorial design|designs]] (such as [[block design|''t''-design]]s and [[Steiner system]]s). Most of the work on this very vital field of [[discrete mathematics]] is concerned with ''binary'' constant-weight codes.