Restrictions on the weight distribution of binary linear codes imposed by the structure of Reed-Muller codes

The words of a binary linear /spl lsqb/n, k/spl rsqb/ code C whose weights belong to a given subset I/spl sub//spl lcub/0,1,...,n/spl rcub/ constitute a word in a certain Reed-Muller code /spl Rfr//spl Mfr/(r, k). Appropriate choices of I result in low values of the order r and thus yield restrictions on the weight distribution of C.<
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