The Golay Codes and The Mathieu Groups
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.
KeywordsMaximal Subgroup Quadratic Residue Steiner System Sign Rule Golay Code
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