# American Institute of Mathematical Sciences

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

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

 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.
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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