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

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Crumple

https://doi.org/10.1007/978-1-4302-6710-2stribution of the function values over general finite fields and over elliptic curves defined over prime finite fields. We also prove lower bounds on the degree of polynomials interpolating the values of these functions in these two settings.

环形

Advanced Execution Plan Conceptsolean functions to that of Gauss sums. In the case of extensions of degree four times an odd number, an explicit formula involving a Kloosterman sum is conjectured, proved with further restrictions, and supported by extensive experimental data in the general case. In particular, the validity of this

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Arithmetic of Finite Fields978-3-319-55227-9Series ISSN 0302-9743 Series E-ISSN 1611-3349

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saphenous-vein

https://doi.org/10.1007/978-1-4302-2669-7tivity 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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https://doi.org/10.1007/978-1-4302-6710-2stribution of the function values over general finite fields and over elliptic curves defined over prime finite fields. We also prove lower bounds on the degree of polynomials interpolating the values of these functions in these two settings.

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