On the weight structure of cyclic codes over GF(q), q>2
Abstract
The interrelation between the cyclic structure of an ideal, i.e., a cyclic code over Galois field GF(q), q>2, and its classes of proportional elements is considered. This relation is used in order to define the code's weight structure. The equidistance conditions of irreducible nonprimitive codes over GF(q) are given. Besides that, the minimum distance for some class of nonprimitive cyclic codes is found.
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