Searching for authors named "Kristin Lauter" – sorted by Relevance.
22 documents found, showing 1 through 10.
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Geometric Methods for Improving the Upper Bounds on the Number of Rational Points on Algebraic Curves over Finite Fields
- … Curves over Finite Fields Kristin Lauter with an Appendix by J-P.Serre Abstract Currently, the best…
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The maximum or minimum number of rational points on genus three curves over finite fields
- … Kristin Lauter with Appendix by Jean-Pierre Serre Abstract We show that for all finite fields Fq…
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The advantages of Elliptic Curve Cryptography For Wireless Security
- … THE ADVANTAGES OF ELLIPTIC CURVE CRYPTOGRAPHY FOR WIRELESS SECURITY KRISTIN LAUTER, MICROSOFT CORPORATION…
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Security analysis of KEA authenticated key exchange
- …Security Analysis of KEA Authenticated Key Exchange Protocol Kristin Lauter 1 and Anton Mityagin 2…
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Computing endomorphism rings of Jacobians of genus 2 curves
- … AND KRISTIN LAUTER Abstract. We present probabilistic algorithms which, given a genus 2 curve C defined over a…
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A CRT algorithm for constructing genus 2 curves over finite fields
- … & Kristin Lauter Abstract. — We present a new method for constructing genus 2 curves over a finite field Fn…
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Computing Modular Polynomials
- …COMPUTING MODULAR POLYNOMIALS DENIS CHARLES AND KRISTIN LAUTER 1. Introduction The ℓ th modular…
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Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate Group
- … Eisenträger 1 ⋆ , Dimitar Jetchev 2 , and Kristin Lauter 3 1 Department of Mathematics, The Pennsylvania State…
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Constructing Kolyvagin Classes: Kolyvagin’s Conjecture and Nontrivial Elements in the Shafarevich-Tate Group
- …-Tate Group Dimitar Jetchev, Kristin Lauter and William Stein 1 Introduction Abstract 2 Computing Heegner…
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References
- …Curriculum Vitae Kristin Lauter klauter@(email omitted); Research Areas Cryptography, Number Theory…
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