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An updated table of rate 1p binary quasi-cyclic codes

✍ Scribed by T.A. Gulliver; V.K. Bhargava


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
275 KB
Volume
8
Category
Article
ISSN
0893-9659

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✦ Synopsis


In this paper, an updated table of maximum minimum distances for rate 1/p binary quasi-cyclic (QC) codes is presented. Many of the new codes given attain the bounds in the table by Brouwer and Verhoeff and the expanded table maintained by Brouwer, and fourteen of these codes improve the bounds. The generator polynomials of the new QC codes which provide table improvements are given. These codes were found using integer linear programming and a heuristic combinatorial optimization algorithm.


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## Abstract An updated table of __K__~2,3~(__b__,__t__;__R__)β€”the minimum cardinality of a code with __b__ binary coordinates, __t__ ternary coordinates, and covering radius __R__β€”is presented for __b__ + __t__ ≀ 13, __R__ ≀ 3. The results include new explanations of short binary and ternary coveri