This article is cited in 2 papers

Information Theory and Coding Theory

New Quasi-Cyclic Degenerate Linear Codes over $GF(8)$

R. N. Daskalov, P. V. Hristov


Abstract: Let $[n,k,d]_q$ code be a linear code of length $n$, dimension $k$, and minimum Hamming distance $d$ over $GF(q)$. One of the most important problems in coding theory is to construct codes with best possible minimum distances. Recently, quasi-cyclic (QC) codes were proved to contain many such codes. In this paper, twenty-five new codes over $GF(8)$ are constructed, which improve the best known lower bounds on minimum distance.

UDC: 621.391.15

Received: 18.04.2002
Revised: 23.01.2003

 English version: Problems of Information Transmission, 2003, 39:2, 184–190

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