Self-Orthogonal Cyclic Codes and Complementary-dual Cyclic Codes of Length pnqm over Fl

Let [ ] 1n mp qF x x  and gcd( ( ), ( ))n md p q , wherep，q，are distinct odd primes,is a primitive root both modulonpand mq,|( 1)p q,| 1q p. We obtain explicit expressions for all 1dmn m n  -cyclotomic cosets modulon mp q. We explicitly determine generating polynomials and enumeration formulas of all self-orthogonal cyclic codes and complementary-dual cyclic codes of length n mp qover F. As an example, we give all self-orthogonal cyclic codes and complementary-dual cyclic codes of length 175over 3F.