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A Note on the Counter-Example of Patterson—Wiedemann

In: Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Author

Listed:
  • Philippe Langevin

    (Université de Toulon et du Var, Groupe de Recherche en Informatique et Mathématiques)

  • Jean-Pierre Zanotti

    (Université de Toulon et du Var, Groupe de Recherche en Informatique et Mathématiques)

Abstract

Following Patterson and Wiedemann [10], we find new counter-examples for a conjecture of Mykkelveit [9] related to the covering radius of the first order Reed-Muller code. One of them has a remarkable algebraic structure.

Suggested Citation

  • Philippe Langevin & Jean-Pierre Zanotti, 2002. "A Note on the Counter-Example of Patterson—Wiedemann," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 214-219, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59435-9_16
    DOI: 10.1007/978-3-642-59435-9_16
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