一类基于周期p^m序列的循环码

Cyclic codes from sequences with the period p^m

首先计算了一类在有限域GF(q)上周期为pm序列的极小多项式,其中p为素数,而且p|/q(p不整除q),然后利用此极小多项式作为生成多项式构造了GF(q)上的一类循环码,并给出了此码最小(汉明)重量的下界。

In this paper,we first compute the minimal polynomials of the sequences with the period pmover the field GF（q）,where pis 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.