EN|RU 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 © Sobolev Institute of Mathematics, 2015