Proof of conjectures on the true dimension of some binary Goppa Codes

Abstract : There is a classical lower bound on the dimension of a binary Goppa code. We survey results on some specific codes whose dimension exceeds this bound, and prove two conjectures on the true dimension of two classes of such codes.
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Pascal Véron. Proof of conjectures on the true dimension of some binary Goppa Codes. Designs, Codes and Cryptography, Springer Verlag, 2005, 36, pp.317-325. ⟨10.1007/s10623-004-1722-4⟩. ⟨hal-00680426⟩

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