[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.2.289

MATHIEU GROUP COVERINGS AND GOLAY CODES

Yie, Ik-Kwon (Department of Mathematics, Inha University)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 289-317 More about this Journal

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 $M_{12}$ but different self-orthogonal binary codes are associated. Also, we find a family of $M_{24}$ -coverings which includes previous ones.

Keywords

unramified coverings; Galois group; Mathieu group; Golay code;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

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