English

Counting Extended Irreducible Goppa Codes

Number Theory 2018-03-05 v1 Discrete Mathematics

Abstract

We obtain an upper bound on the number of extended irreducible q-ary Goppa codes of degree rr and length qn+1q^n+1, where q=ptq=p^t and nn and r>2r>2 are prime numbers.

Keywords

Cite

@article{arxiv.1803.00619,
  title  = {Counting Extended Irreducible Goppa Codes},
  author = {Kondwani Magamba and John A. Ryan},
  journal= {arXiv preprint arXiv:1803.00619},
  year   = {2018}
}
R2 v1 2026-06-23T00:38:46.462Z