MATHIEU GROUP COVERINGS AND GOLAY CODES

Title & Authors
MATHIEU GROUP COVERINGS AND GOLAY CODES
Yie, Ik-Kwon;

Abstract
We associate binary codes to polynomials over fields of characteristic two and show that the binary Golay codes are associated to the Mathieu group polynomials in characteristics two. We give two more polynomials whose Galois group in $\small{M_{12}}$ but different self-orthogonal binary codes are associated. Also, we find a family of $\small{M_{24}}$-coverings which includes previous ones.
Keywords
unramified coverings;Galois group;Mathieu group;Golay code;
Language
English
Cited by
1.
GALOIS THEORY OF MATHIEU GROUPS IN CHARACTERISTIC TWO,;

대한수학회지, 2007. vol.44. 1, pp.199-210
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