This article is cited in 15 papers

Coding Theory

On $\mathbb Z_4$-Linear Codes with Parameters of Reed–Muller Codes

F. I. Solov'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: For any pair of integers $r$ and $m$, $0\le r\le m$, we construct a class of quaternary linear codes whose binary images under the Gray map are codes with the parameters of the classical $r$th-order Reed–Muller code $RM(R,m)$.

UDC: 621.391.15

Received: 28.03.2006
Revised: 12.10.2006

 English version: Problems of Information Transmission, 2007, 43:1, 26–32

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