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Minimal codewords in linear codes. (English) Zbl 1064.94015

The authors find the number of minimal codewords of certain weights in a special kind of cyclic binary codes. In another application the weight distributions of the minimal codewords in the binary Reed-Muller codes RM(3,6) and RM(3,7) are calculated.

MSC:

94B05 Linear codes (general theory)
94B15 Cyclic codes
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