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Journal of Algebra Combinatorics Discrete Structures and Applications

Some new binary codes with improved minimum distances

Eric Z. Chen

Published Mar 13, 2018• 6 citations
Publisher

Abstract

It has been well-known that the class of quasi-cyclic (QC) codes contain many good codes. In this paper, a method to conduct a computer search for binary $2$-generator QC codes is presented, and a large number of good $2$-generator QC codes have been obtained. $5$ new binary QC codes that improve the lower bounds on minimum distance are presented. Furthermore, with new $2$-generator QC codes and Construction X, $2$ new improved binary linear codes are obtained. With the standard construction techniques, another $16$ new binary linear codes that improve the lower bound on the minimum distance have also been obtained. Received: 9 November 2016 Accepted: 22 November 2017

DOI
10.13069/jacodesmath.404964

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