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

Abstract

Let  and  where p , q , I  are distinct odd primes, I is a primitive root both modulo Pn and  .We obtain explicit expressions for all dmn + m + n + 1 I -cyclotomic cosets modulo Pn qm  We explicitly determine generating polynomials and enumeration formulas of all self-orthogonal cyclic codes and complementary-dual cyclic codes of length Pn qm  fI As an example, we give all self orthogonal cyclic codes and complementary-dual cyclic codes of length 175 over F3.