International Journal of Engineering, Science and Mathematics
  • Year: 2019
  • Volume: 8
  • Issue: 5

Weigth distribution of cyclic codes of length mps

  • Author:
  • Sunil Kumar, Manju Pruthi, Rahul
  • Total Page Count: 12
  • Page Number: 39 to 50

Department of Mathematics, Indira Gandhi University, Meerpur(Rewari)-122502, Haryana, India

MSC: 94B05, 94B15, 94A24, 11H71, 11T71, 11A07, 13A05

Abstract

Let Fq be a field with q elements such that gcd(mp, q(q-1))= 1 and q2 ≡ 1(mod mps), where m is prime and p> m is prime. In this paper, we give all primitive idempotents in a ring . We give the weight distributions of all irreducible cyclic codes of length mps over Fq.

Keywords

Cyclic Codes, Primitive Idempotents, Weight Distributions