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"In this Tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Amongst the applications considered are: the problem of counting t…
In this paper, we study the behavior at infinity of t̄ via the theory of mixed Hodge structures, especially the limit Hodge structures of Schmid and Steenbrink, extending investigations of Carlson, Cattani, and Kaplan.
Algebraic Curves and Finite Fields: Cryptography and Other Applications
by Bassa, Alp, Guilley, Sylvain, Korchmáros, Gábor, Pries, Rachel, Pott, Alexander, Achter, Jeffrey D., Beelen, Peter, Cheon, Jung Hee, Claude, Carlet, Giulietti, Massimo, Helleseth, Tor, Kim, Taechan, Nguyen, Nhut, Pausinger, Florian, Schmidt, Kai-Uwe, Song, Yongsoo, Steinfeld, Ron, Topuzoğlu, Alev, Villa-Salvador, Gabriel D., Zhou, Yue
fromRadon series on computational and applied mathematics
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Type: Book
This bookcollects the results of the workshops on Applications of Algebraic CurvesandApplications of Finite Fieldsat the RICAMin 2013. These workshopsbrought together the most prominet researchers in the area of finite fields and their applications around the world, addressing o…
