Volume 17, No 1, 2010, P. 11-33

UDC 621.391.15
E. V. Gorkunov
Monomial automorphisms of the linear and simple components of the Hamming code

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.

Gorkunov Evgeny Vladimirovich ¹
1. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: gorkunov@math.nsc.ru