The weights of the orthogonals of the extended quadratic binary Goppa codes

  • Authors:
  • G. Lachaud;J. Wolfmann

  • Affiliations:
  • CIRM, Marseille;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Starting from results on elliptic curves and Kloosterman sums over the finite field GE(2t), the authors determine the weights of the orthogonals of some binary linear codes; the Melas code of length, the irreducible cyclic binary code of length 2t+1, and the extended binary Goppa codes defined by polynomials of degree two