Ideals of Z{double struck} pn[X]/(X l - 1)

Abstract

In [6,8], we showed that any ideal of Z{double struck} 4[X]/(X l - 1)is generated by at most two polynomials of the 'standard' forms when l is even. The purpose of this paper is to nd the 'standard' generators of the cyclic codes over Z{double struck} pa of length a multiple of p, namely the ideals of Z{double struck} pa [X]/(X l - 1) with an integer l which is a multiple of p. We also nd an explicit description of their duals in terms of the generators when a = 2. © 2011 The Korean Mathematical Society.