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Research & Reviews: Discrete Mathematical Structures

Primitive Idempotents and Weight Distributions of Irreducible Cyclic Codes of Length 5l^m

  1. Sunil Kumar
  2. Manju Pruthi
  3. Rahul .

Abstract

AbstractLet be a finite field with q elements such that and gcd  = 1, where  is a prime. In this paper, we give all primitive idempotents in a ring [x] . We give the weight distributions of all irreducible cyclic codes of length over . Keywords: Primitive Idempotents, Cyclotomic Cosets, Cyclic Codes. Cite this ArticleSunil Kumar, Manju Pruthi, Rahul. Primitive Idempotents and Weight Distributions of Irreducible Cyclic Codes of Length . Research & Reviews Discrete Mathematical Structures. 2019; 6(2): 49–58p.
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