The weight distributions of irreducible cyclic codes of length 2m

AbstractLet m be a positive integer and q be an odd prime power. In this paper, the weight distributions of all the irreducible cyclic codes of length 2m over Fq are determined explicitly

Semisimple metacyclic group algebras

Given a group G of order p1 p2, where p1, p2 are primes, and Fq, a finite field of order q coprime to p1 p2, the object of this paper is to compute a complete set of primitive central idempotents of the semisimple group algebra Fq [G]. As a consequence, we obtain the structure of Fq [G] and its group of automorphisms