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
