McEliece Public Key Cryptosystems Using Algebraic-Geometric Codes

  • Authors:
  • Heeralal Janwa;Oscar Moreno

  • Affiliations:
  • The Mehta Research Institute of Mathematics and Mathematical Physics, Allahabad-211 002, India. E-mail janwa@mri.ernet.in;Department of Mathematics, University of Puerto Rico, Rio Piedras, PR 00931. E-mail o_moreno@upr1.clu.edu

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1996

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Abstract

McEliece proposed a public-key cryptosystem based on algebraic codes, in particular binary classical Goppa codes. Actually, his scheme needs only a class of codes with a good decoding algorithm and with a huge number of inequivalent members with given parameters. In the present paper we look at various aspects of McEliece's scheme using the new and much larger class of q-ary algebraic-geometric Goppa codes.