Výsledky vyhledávání - "Chapman, Robin"

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On a Family of Twisted Trace Curves over Finite Fields, and Fibonacci Numbers

We present some results about the number of rational points on a certain family of curves defined over a finite field. In a small number of cases the curves have more rational points than expected. Fibonacci numbers make an appearance, as do cyclotom

Externí odkaz: http://arxiv.org/abs/2102.02081

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Divisibility of L-Polynomials for a Family of Curves

Autor: Chacon, Ivan Blanco, Chapman, Robin, Fordham, Stiofain, McGuire, Gary

Publikováno v: in Contemporary Developments in Finite Fields and Applications, eds A. Canteaut, G. Effinger, S. Huczynska, D. Panario, L. Storme, World Scientific 2016

We consider the question of when the L-polynomial of one curve divides the L-polynomial of another curve. A theorem of Tate gives an answer in terms of jacobians. We consider the question in terms of the curves. The last author gave an invited talk a

Externí odkaz: http://arxiv.org/abs/1801.04189

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Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields

Autor: Castro, Francis N., Chapman, Robin, Medina, Luis A., Sepúlveda, L. Brehsner

Publikováno v: Discrete Mathematics 341 (2018) 1915-1931

Rotation symmetric Boolean functions are invariant under circular translation of indices. These functions have very rich cryptographic properties and have been used in different cryptosystems. Recently, Thomas Cusick proved that exponential sums of r

Externí odkaz: http://arxiv.org/abs/1702.08038

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