English
A Heuristic Algorithm for the Construction of Good Linear Codes
Johannes
Zwanzger
;
IEEE Transactions on Information Theory,
ISBN/ISSN/ISMV Nummer:0018-9448
in:
IEEE Transactions on Information Theory,
Jg.:2008,
Bd.:54,
Hnr.: 5,
S.: 2388
- 2392
Doi-Nummer:
Abstract:
In this correspondence we describe a heuristic method for the construction of linear codes with given parameters n, k, q and a prescribed minimum distance of at least d. Our approach is based on a function estimating the probability that a code of dimension k and blocklength n' < n over GF(q) is extendable to a code with the given properties. Combining this evaluation function with a search algorithm we were able to improve 40 entries in the international tables for the best known minimum distance in the cases q=2, 5, 7, 9 and found at least two new optimal linear codes.
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