Improved explicit estimates on the number of solutions of equations over a finite field

Author:

Cafure Antonio,Matera Guillermo

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference27 articles.

1. M.E. Alonso, E. Becker, M.-F. Roy, T. Wörmann, Zeroes, multiplicities and idempotents for zerodimensional systems, in: Algorithms in Algebraic Geometry and Applications, Proceedings of MEGA’94, Progress in Mathematics, vol. 143, Birkhäuser, Boston, 1996, pp. 1–15.

2. E. Bombieri, Counting points on curves over finite fields (d’après S.A. Stepanov), Exp 430, in: Séminaire Bourbaki 1972/1973, Lecture Notes in Mathematics, vol. 383, Springer, New York, 1974, pp. 234–241.

3. A. Cafure, G. Matera, Explicit estimates for the number of solutions of polynomial equation systems over finite fields, in: P. D’Argenio, G. Matera (Eds.), Proceedings Workshop Argentino de Informática Teórica, WAIT’02, Santa Fe, Argentina, September 2002, Anales Jornadas Argentinas de Informática e Investigación Operativa, vol. 31, SADIO, 2002, Buenos Aires, pp. 26–41.

4. A. Cafure, G. Matera, Fast computation of a rational point of a variety over a finite field, Manuscript Universidad Nacional de General. Sarmiento, 2003. Available at http://arxiv.org/abs/math.NT/0406085.

5. On the number of points of some hypersurfaces in Fqn;Cherdieu;Finite Fields Appl.,1996

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