Coding Theory

On Existence of Good Cyclic Almost Linear Codes over Nonprime Fields

G. A. Kabatiansky


Abstract: Kasami?s recent result regarding the existence of good systematic quasicyclic codes with rates $1/l$ and $(l-1)/l$ is generalized to the case of rates $v/l$, $1\leqslant v\leqslant l-1$. As a corollary, it is shown that good group cyclic codes over nonprime fields exist.

UDC: 621.395.15, 512

Received: 22.12.1975

 English version: Problems of Information Transmission, 1977, 13:3, 175–177

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