The Golay Codes and The Mathieu Groups

  • J. H. Conway
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 290)

Abstract

This chapter contains a detailed description of the binary Golay code of length 24, the Steiner system S (5, 8, 24), and the Mathieu group M 24. The MOG (Miracle Octad Generator) and the hexacode are computational tools that make it easy to perform calculations with these objects. The MINIMOG and the tetracode perform similar services for the ternary Golay code of length 12, the Steiner system S (5, 6, 12), and the Mathieu group M 12.

Keywords

Maximal Subgroup Quadratic Residue Steiner System Sign Rule Golay Code 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • J. H. Conway

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