Geodesic
Monomial automorphisms of the linear and simple components of the Hamming code
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 1, pp. 11-33

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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
Mots-clés : monomial automorphism group. 
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     author = {E. V. Gorkunov},
     title = {Monomial automorphisms of the linear and simple components of the {Hamming} code},
     journal = {Diskretnyj analiz i issledovanie operacij},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/DA_2010_17_1_a1/}
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E. V. Gorkunov. Monomial automorphisms of the linear and simple components of the Hamming code. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 1, pp. 11-33. http://geodesic.mathdoc.fr/item/DA_2010_17_1_a1/