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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 15th International S Marc Fossorier,Tom Høholdt,Alain Poli Conference pro

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Nikolai Mouraviev,Anastasia Koulourimber of variables. The method was introduced by the author in another paper, where specific complexity estimates were obtained for certain special cases. Some consequences of these estimates are stated in the present paper.
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Anastasia Koulouri,Nikolai MouravievSmart (CHES 2001). Rather than considering the Jacobi form as the intersection of two quadrics, the addition law is directly derived from the underlying quartic. As a result, this leads to substantial memory savings and produces the fastest unified addition formula for curves of order a multiple of 2, as those required for OK-ECDH or OK-ECDSA.
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M. J. Herrerias,Roselyne Joyeuxves a unified perspective from which to approach existence and construction problems for highly nonlinear functions, sought for their resistance to differential cryptanalysis. We describe two constructions of 2D differentially 2-uniform (APN) cocycles over GF(2.), of which one gives 1D binary APN functions.
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Homotopy Methods for Equations over Finite Fields,mber of variables. The method was introduced by the author in another paper, where specific complexity estimates were obtained for certain special cases. Some consequences of these estimates are stated in the present paper.
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The Jacobi Model of an Elliptic Curve and Side-Channel Analysis,Smart (CHES 2001). Rather than considering the Jacobi form as the intersection of two quadrics, the addition law is directly derived from the underlying quartic. As a result, this leads to substantial memory savings and produces the fastest unified addition formula for curves of order a multiple of 2, as those required for OK-ECDH or OK-ECDSA.
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