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Construction of constant weight code and some upper bounds

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1 Author(s)
Fanxin Zeng ; Graduate Sch., Chongqing Commun. Inst.

Properties of m-sequence are derived, based on the properties, a family of binary nonlinear constant weight codes is presented, these binary nonlinear constant weight codes can be employed in automatic repeat request (ARQ) communication system. In addition, let Qq (n,d) denote the maximal possible number of codewords in any q-ary equidistant code of length n and Hamming distance d between codewords (with no restriction on weight), let Eq (n,d,w) denote the largest possible number of codewords in any q-ary equidistant code with constant weight, length n, constant weight w, Hamming distance d between codewords. Let q, n, d, w isin N, here N denotes natural number set. We show that 1) Eq (n,d,w) les qn, 2) Qq (n,d) les qn+1, when q > 2, and if q=2, then 3) Eq (n,d,w) les n, 4) Qq (n,d) les n+1

Published in:

Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on

Date of Conference:

4-9 Sept. 2005

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