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Polynomial description of binary linear codes and related properties

  • J. Wolfmann
Article

Abstract

We introduce a description of everyk-dimensional binary linear code (without repetitions) by means of a polynomial overF2 k and the trace function ofF2 k overF2. Several properties of parameters, weights, automorphism group and related cyclic codes are deduced. Special cases and a connection with algebraic curves over finite fields are also investigated.

Keywords

Coding theory Finite fields Polynomials over finite fields 

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • J. Wolfmann
    • 1
  1. 1.G.E.C.T. Université de ToulonLa GardeFrance

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