OnConstacyclicCodesoverZp1p2…p_t

Let t ≥ 2 be an integer, and let p1, ···, p_tbe distinct primes. By using algebraic properties, the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2···p_tand the corresponding explicit enumerating formula. And it proves that there does not exist any self-dual cyclic code over Zp1p2···p_t.