About: Hexacode

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In coding theory, the hexacode is a length 6 linear code of dimension 3 over the Galois field of 4 elements defined by It is a 3-dimensional subspace of the vector space of dimension 6 over .Then contains 45 codewords of weight 4, 18 codewords of weight 6 andthe zero word. The full automorphism group of the hexacode is . The hexacode can be used to describe the Miracle Octad Generatorof R. T. Curtis.

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  • In coding theory, the hexacode is a length 6 linear code of dimension 3 over the Galois field of 4 elements defined by It is a 3-dimensional subspace of the vector space of dimension 6 over .Then contains 45 codewords of weight 4, 18 codewords of weight 6 andthe zero word. The full automorphism group of the hexacode is . The hexacode can be used to describe the Miracle Octad Generatorof R. T. Curtis. (en)
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  • In coding theory, the hexacode is a length 6 linear code of dimension 3 over the Galois field of 4 elements defined by It is a 3-dimensional subspace of the vector space of dimension 6 over .Then contains 45 codewords of weight 4, 18 codewords of weight 6 andthe zero word. The full automorphism group of the hexacode is . The hexacode can be used to describe the Miracle Octad Generatorof R. T. Curtis. (en)
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  • Hexacode (en)
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