A Note on the Counter-Example of Patterson—Wiedemann

Philippe Langevin and Jean-Pierre Zanotti
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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

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 214-219 from Springer

Abstract: 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.

Date: 2002
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DOI: 10.1007/978-3-642-59435-9_16

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