This article is cited in 1 paper

Monomial automorphisms of the linear and simple components of the Hamming code

E. V. Gorkunov

Novosibirsk State University, Novosibirsk, Russia

Abstract: The linear and simple components of the Hamming code are the spans of the codewords having weight 3 and unit in the given coordinate position over the finite field $\mathbb{F}_q$ and its prime subfield $\mathbb{F}_p$ respectively. The monomial automorphism groups of such components are described. The order of the monomial automorphism group of a linear component is obtained. Bibl. 21.

Keywords: linear component, simple component, the Hamming code, monomial automorphism group.

UDC: 621.391.15

Received: 27.08.2009
Revised: 23.11.2009

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