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

Authors

  • Sunil Kumar
  • Manju Pruthi
  • Rahul .

DOI:

https://doi.org/10.37591/rrdms.v6i2.2125

Abstract

Abstract

Let 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 Article

Sunil 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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Published

2019-08-19

Issue

Vol. 6 No. 2 (2019)

Section

Research Articles

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