English

Enumeration of irreducible and extended irreducible Goppa codes

Number Theory 2019-04-08 v1 Discrete Mathematics

Abstract

We obtain upper bounds on the number of irreducible and extended irreducible Goppa codes over GF(p)GF(p) of length qq and q+1q+1, respectively defined by polynomials of degree rr, where q=ptq=p^t and r3r\geq 3 is a positive integer.

Keywords

Cite

@article{arxiv.1904.02791,
  title  = {Enumeration of irreducible and extended irreducible Goppa codes},
  author = {Kondwani Magamba and John A. Ryan},
  journal= {arXiv preprint arXiv:1904.02791},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1803.00619