65.69 CordaroWagnerCode

CordaroWagnerCode( n )

CordaroWagnerCode returns a binary Cordaro-Wagner code. This is a code of length n and dimension 2 having the best possible minimum distance d. This code is just a little bit less trivial than RepetitionCode (see RepetitionCode).

    gap> C := CordaroWagnerCode( 11 );
    a linear [11,2,7]5 Cordaro-Wagner code over GF(2)
    gap> Elements(C);
    [ [ 0 0 0 0 0 0 0 0 0 0 0 ], [ 1 1 1 1 1 1 1 0 0 0 0 ],
      [ 0 0 0 0 1 1 1 1 1 1 1 ], [ 1 1 1 1 0 0 0 1 1 1 1 ] ] 

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