2023, Vol. 8, Issue 4, Part A

Let Fq be the finite field with q elements, p, q be two odd primes with gcd (p, q) = 1. Let q be primitive root modulo 2p^m, m ⩾ 1 be an integer. In this paper, we obtain weight distribution of all the irreducible cyclic codes of length 2pm over Fq by using their generating polynomials.

Mathematics Subject Classification (2020) 11A03; 15A07; 11R09; 11T 06; 11T 22; 11T 71; 94B05; 94B15.