English

Weight enumerator of some irreducible cyclic codes

Information Theory 2014-05-12 v2 math.IT Number Theory

Abstract

In this article, we show explicitly all possible weight enumerators for every irreducible cyclic code of length nn over a finite field Fq\mathbb F_q, in the case which each prime divisor of nn is also a divisor of q1q-1.

Keywords

Cite

@article{arxiv.1404.6851,
  title  = {Weight enumerator of some irreducible cyclic codes},
  author = {F. E. Brochero Martínez and C. R. Giraldo Vergara},
  journal= {arXiv preprint arXiv:1404.6851},
  year   = {2014}
}

Comments

Submitted to Designs, Codes and Cryptography, 8 pages