65.32 WeightDistribution

WeightDistribution( C )

WeightDistribution returns the weight distribution of C, as a vector. The i^{th} element of this vector contains the number of elements of C with weight i-1. For linear codes, the weight distribution is equal to the inner distribution (see InnerDistribution).

Suppose w is the weight distribution of C. If C is linear, it must have the zero codeword, so w[1] = 1 (one word of weight 0).

    gap> WeightDistribution( ConferenceCode(9) );
    [ 1, 0, 0, 0, 0, 18, 0, 0, 0, 1 ]
    gap> WeightDistribution( RepetitionCode( 7, GF(4) ) );
    [ 1, 0, 0, 0, 0, 0, 0, 3 ]
    gap> WeightDistribution( WholeSpaceCode( 5, GF(2) ) );
    [ 1, 5, 10, 10, 5, 1 ] 

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