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

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2 Author(s)
G. Lachaud ; CIRM, Marseille, France ; J. Wolfmann

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

Published in:

IEEE Transactions on Information Theory  (Volume:36 ,  Issue: 3 )