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Titlebook: Arithmetic of Finite Fields; 6th International Wo Sylvain Duquesne,Svetla Petkova-Nikova Conference proceedings 2016 Springer International

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Differential Addition on Binary Elliptic Curvesc curves with cost of . when the given difference point is in affine form. Here, . denote the costs of a field multiplication, a field squaring and a field multiplication by a constant, respectively. This paper also presents, new . differential addition formulas for . curves with cost of ..
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https://doi.org/10.1007/978-3-319-55227-9cryptography; elliptic curve; problem solving; Boolean functions; security; authentication; public key cry
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On Pseudorandom Properties of Certain Sequences of Points on Elliptic Curvetions with small coefficients (e.g. .) of the orbit elements of a point with respect to a given endomorphism of the curve. We investigate the linear complexity and the distribution of these sequences. The result on the linear complexity answers a question of Igor Shparlinski.
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A Note on the Brawley-Carlitz Theorem on Irreducibility of Composed Products of Polynomials over Fintivity of the binary operation for the composed product is not necessary. We then investigate binary operations defined by polynomial functions, and give a sufficient condition in terms of degrees for the requirement in the Brawley-Carlitz theorem.
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