On cyclic codes of length p~nℓ~m over a finite field

摘要

Let p, ℓ be distinct odd primes, q be a prime power with gcd(q, p) = gcd(q, ℓ) = 1, and m, n be positive integers. In this paper, we determine all self-orthogonal and complementary-dual cyclic codes of length p~nℓ~m over the finite field F_q with q elements. We also illustrate our results with some examples.