Abstract:

In this paper, we first compute the minimal polynomials of the sequences with the period pm over the field  GF(q),where p is a prime and p|/q,and then take such minimal polynomials as the generate polynomials of cyclic codes over GF(q).Additionally,lower bounds on the minimum (Hamming) weight of such cyclic codes are developed.

Key words: sequences;cyclic codes;Hamming weight