Representations of M12

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Decoding the Mathieu group M12

We show how to use the elements of a sharply k-transitive permutation group of degree n to form error-correcting codes, as suggested by Blake [1], presenting suitable decoding algorithms for these codes. In particular, we concentrate on using the Mathieu group M12 to form a (12,95040,8)-code to correct three errors. The algorithm we give for this code differs from that given by Cohen and Deza [2].

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1993

ISSN: 0021-8693

DOI: 10.1006/jabr.1993.1078