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February  2007, 1(1): 83-92. doi: 10.3934/amc.2007.1.83

A new upper bound on the rate of non-binary codes

Yael Ben-Haim 1, and  Simon Litsyn 1,

1. 

School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel, Israel

Received  May 2006 Published  January 2007

New bounds on the rate of non-binary codes and non-binary constant weight codes are derived. The asymptotic forms of these bounds outperform known bounds in a wide range of distances. The method is based on analysis of subsets in products of Hamming and Johnson association schemes.
Keywords: association schemes., linear programming method, Bounds for codes.
Mathematics Subject Classification: Primary: 94B65; Secondary: 05E3.
Citation: Yael Ben-Haim, Simon Litsyn. A new upper bound on the rate of non-binary codes. Advances in Mathematics of Communications, 2007, 1 (1) : 83-92. doi: 10.3934/amc.2007.1.83
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