65.76 TernaryGolayCode

TernaryGolayCode()

TernaryGolayCode returns a ternary Golay code. This is a perfect [11,6,5] code. It is also cyclic, and has generator polynomial g(x)=2+x^2+2x^3+x^4+x^5. Extending it results in an extended Golay code (see ExtendedTernaryGolayCode). There's also the binary Golay code (see BinaryGolayCode).

    gap> TernaryGolayCode();
    a cyclic [11,6,5]2 ternary Golay code over GF(3)
    gap> ExtendedTernaryGolayCode() = ExtendedCode(TernaryGolayCode());
    true 

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