Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 30, No 2-3, (2004), 303p-324p
Cyclic binary codes C of block length n = 2^m − 1 and generator polynomial g(x) = m1(x)m2^s+1(x), (s, m) = 1, are considered. The cardinalities of the sets of minimal codewords of weights 10 and 11 in codes C and of weight 12 in their extended codes
^C are determined. The weight distributions of minimal codewords in the binary Reed-Muller
codes RM (3, 6) and RM (3, 7) are determined. The applied method enables
codes with larger parameters to be attacked.