Enumeration of inequivalent irreducible Goppa codes

  • Authors:

  • John A. Ryan;Patrick Fitzpatrick

  • Affiliations:

  • Department of Mathematics, Mzuzu University, Luwinga, Mzuzu, Malawi;Boole Centre for Research in Informatics, University College Cork, Cork, Ireland

  • Venue:
  • Discrete Applied Mathematics - Special issue: Coding and cryptography
  • Year:
  • 2006

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Abstract

We consider irreducible Goppa codes over Fq of length qn defined by polynomials of degree r, where q is a prime power and n, r are arbitrary positive integers. We obtain an upper bound on the number of such codes.