hexacode

hexacode
A particular linear code of length 6 and dimension 3.

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  • Hexacode — In coding theory, the hexacode is length 6 linear code of dimension 3 over the Galois field GF(4)={0,1,omega,omega^2} of 4 elements defined by :H={(a,b,c,f(1),f(omega),f(omega^2) : f(x):=ax^2+bx+c; a,b,cin GF(4)}.Then H contains 45 codewords of… …   Wikipedia

  • Miracle Octad Generator — In mathematics, the Miracle Octad Generator, or MOG, is a mathematical tool introduced by Curtis (1976) for manipulating the Mathieu groups, binary Golay code and Leech lattice. Contents 1 Description 2 Golay code 3 MiniMOG …   Wikipedia

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