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This article is cited in 15 scientific papers (total 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 $RM(R,m)$.
Received: 28.03.2006 Revised: 12.10.2006
Citation:
F. I. Solov'eva, “On $\mathbb Z_4$-Linear Codes with Parameters of Reed–Muller Codes”, Probl. Peredachi Inf., 43:1 (2007), 32–38; Problems Inform. Transmission, 43:1 (2007), 26–32
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https://www.mathnet.ru/eng/ppi4 https://www.mathnet.ru/eng/ppi/v43/i1/p32
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Abstract page: | 497 | Full-text PDF : | 175 | References: | 61 | First page: | 1 |
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