65.64 ExtendedTernaryGolayCode

ExtendedTernaryGolayCode( )

ExtendedTernaryGolayCode returns an extended ternary Golay code. This is a [12,6,6] code. Puncturing this code results in a perfect ternary Golay code (see TernaryGolayCode). The code is self-dual (see IsSelfDualCode).

    gap> C := ExtendedTernaryGolayCode();
    a linear [12,6,6]3 extended ternary Golay code over GF(3)
    gap> P := PuncturedCode(C);
    a linear [11,6,5]2 punctured code
    gap> P = TernaryGolayCode();
    true 

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