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Elliptic curves
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181	The Menu (1) Hilbert’s Tenth Problem and Diophantine Stability (2) Logic related to Elliptic Curves and their rational points Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2014-11-09 18:14:11
182	Root numbers and rational points on elliptic curves R. Sujatha August 5, 2009 This article is broadly based on the talk that was given at the symposium ‘Perspectives in the Mathematical Sciences’, held at Indian Stat Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2009-08-05 00:14:34
183	Edwards model Z/4Z-normal form µ µ4 -normal form Existence of normal forms Addition law structure Kumme Elliptic curves in characteristic 2 David R. Kohel Institut de Math´ematiques de Luminy Add to Reading List Source URL: ecc2011.loria.fr Language: English - Date: 2011-09-30 12:40:05 Numerical software Computing Interleaving PROPT
184	Isogenies and endomorphism rings of elliptic curves ECC Summer School Damien Robert Microsoft ResearchNancy) Add to Reading List Source URL: ecc2011.loria.fr Language: English - Date: 2011-09-30 12:40:05 Elliptic curves Algebraic curves Analytic number theory Algebraic surfaces Supersingular elliptic curve Elliptic curve Isogeny Abelian variety Supersingular variety Supersingular isogeny key exchange Elliptic curve cryptography
185	Useful Stuff Benjamin Smith Context Algebraic Curves Useful Stuff Add to Reading List Source URL: ecc2011.loria.fr Language: English - Date: 2011-09-30 12:40:05 Algebraic curves Finite fields Abelian variety Niels Henrik Abel Elliptic curve DiffieHellman problem Hyperelliptic curve cryptography Hyperelliptic curve
186	Motivation - Exotic Security Assumptions in Cryptography Main Algorithm and Results Oracle-assisted Static DHP for binary curves On the Static Diffie-Hellman Problem on Elliptic Curves over Extension Fields Add to Reading List Source URL: 2010.eccworkshop.org Language: English - Date: 2010-10-25 19:46:00 Cryptography Abstract algebra Algebra Computational hardness assumptions Finite fields DiffieHellman problem Group theory Elliptic curve cryptography Provable security Whitfield Diffie DiffieHellman key exchange Elliptic curve
187	Exercises on pairings on elliptic curves Andreas Enge Leuven, Friday, 13 September 2013 Exercise 1 (Weil reciprocity). Let E : Y 2 = X 3 + X over F7 , f = Y , g = X−1 X−3 . Compute div f and div g, and verify that f Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English - Date: 2013-09-23 05:41:31 Cryptography Algebra Public-key cryptography Pairing-based cryptography Elliptic curves Group theory Analytic number theory Weil pairing Divisor Pairing Homomorphic signatures for network coding
188	Algebra & Computation: Elliptic Curves Talk 3: Group Laws, Torsion, Derivations Jesko H¨ uttenhain Spring 2010 Add to Reading List Source URL: www.huettenhain.net Language: English - Date: 2013-04-01 11:19:07
189	Computing genus 2 curves from invariants on the Hilbert moduli space Journal of Number Theory, Special Issue on Elliptic Curve Cryptography http://eprint.iacr.org Add to Reading List Source URL: 2010.eccworkshop.org Language: English - Date: 2010-10-26 20:15:50 Algebra Abstract algebra Analytic number theory Invariant theory Algebraic surfaces Algebraic curves Moduli space Moduli theory Modular form Abelian variety Elliptic curve Complex multiplication
190	Ren´e Schoof, Elliptic curves over finite fields. VU, OctoberIntroduction. Let E be an elliptic curve over a finite field Fq . Then E is a smooth cubic in P2 . It can Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English Mathematics Algebra Group theory Geometry Analytic number theory Elliptic curve Divisor Differential forms Imaginary hyperelliptic curve Banach fixed-point theorem

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