On the weight structure of cyclic codes over $GF(q)$, $q>2$

Details On the weight structure of cyclic codes over $GF(q)$, $q>2$ On the weight structure of cyclic codes over $GF(q)$, $q>2$

2007-04-09

arxiv.org/abs/0704.1091v1

Mathematics

Number Theory

11 pages, no figures

Scientific paper

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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