65.63 ExtendedBinaryGolayCode

ExtendedBinaryGolayCode( )

ExtendedBinaryGolayCode returns an extended binary Golay code. This is a [24,12,8] code. Puncturing in the last position results in a perfect binary Golay code (see BinaryGolayCode). The code is self-dual (see IsSelfDualCode).

    gap> C := ExtendedBinaryGolayCode();
    a linear [24,12,8]4 extended binary Golay code over GF(2)
    gap> P := PuncturedCode(C);
    a linear [23,12,7]3 punctured code
    gap> P = BinaryGolayCode();
    true 

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