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Hyperelliptic curve
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#	Item
1	Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj, Soonhak Kwon, Patrick Baier, Paul Kohlbrenner, Hoang Le, Mohammed Khaleeluddin, Ramakrishna Bachimanchi George Mason University {kg Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-05-28 15:36:33 Algebra Abstract algebra Mathematics Finite fields Integer factorization algorithms Elliptic curves Group theory Lenstra elliptic-curve factorization Elliptic curve Elliptic curve primality Factorization of polynomials over finite fields
2	Hardware for Collision Search on Elliptic Curve over GF(2m) Philippe Bulens∗, Guerric Meurice de Dormale† and Jean-Jacques Quisquater UCL Crypto Group Universit´e Catholique de Louvain Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-05-04 18:26:31 Cryptography Abstract algebra Algebra Finite fields Elliptic curve cryptography Public-key cryptography Group theory Elliptic-curve cryptography Elliptic curve XTR Elliptic curve only hash Supersingular isogeny key exchange
3	On the Security of Elliptic Curve Cryptosystems against Attacks with Special-Purpose Hardware Tim G¨ uneysu, Christof Paar, Jan Pelzl Horst G¨ortz Institute for IT Security, Ruhr University Bochum, Germany {gueneysu,cp Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-03-21 11:54:32 Cryptography Abstract algebra Algebra Finite fields Elliptic curve cryptography Computational hardness assumptions Group theory Public-key cryptography Elliptic-curve cryptography Elliptic curve Key size Discrete logarithm
4	Hardware for Collision Search m on Elliptic Curve over GF(2 ) Philippe Bulens (S), Guerric Meurice de Dormale and Jean-Jacques Quisquater {bulens, gmeurice, quisquater}@dice.ucl.ac.be Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-04-17 02:57:49 Finite fields Algebraic number theory Frobenius endomorphism Galois theory Meurice Jean-Jacques Quisquater Mathematics
5	An Efficient Hardware Architecture for Factoring Integers with the Elliptic Curve Method Jens Franke, Thorsten Kleinjung - University of Bonn Christof Paar, Jan Pelzl - University of Bochum Christine Priplata, Colin Stah Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2005-03-13 11:15:51 Cryptography Integer factorization algorithms Lenstra elliptic-curve factorization Quadratic sieve Elliptic-curve cryptography Elliptic curve Integer factorization General number field sieve RSA Trial division
6	An Efficient Hardware Architecture for Factoring Integers with the Elliptic Curve Method Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , 4 ˇ Christine Priplata3 , Martin Simka Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2005-03-13 11:15:55 Integer factorization algorithms Mathematics Abstract algebra Algebra Lenstra elliptic-curve factorization Quadratic sieve Montgomery modular multiplication Elliptic curve Exceptional case-marking Division algorithm General number field sieve
7	Elliptic Curves over Q Peter Birkner Technische Universiteit Eindhoven DIAMANT Summer School on Elliptic and Hyperelliptic Curve Cryptography Add to Reading List Source URL: www.pbirkner.fastmail.fm Language: English - Date: 2008-09-19 03:32:03
8	This is Chapter 7 by Gerhard Frey and Tanja Lange of the Handbook of Elliptic and Hyperelliptic Curve Cryptography, Henri Cohen, Christophe Doche, and Gerhard Frey, Editors, CRC PressCRC Press has granted the foll Add to Reading List Source URL: hyperelliptic.org Language: English - Date: 2014-03-13 14:22:38
9	Ordinary plane models and completely split divisors Claus Diem and Sebastian Kochinke October 22, 2017 Abstract Let C be a smooth, non-hyperelliptic curve over an algebraically Add to Reading List Source URL: www.mathematik.uni-leipzig.de Language: English - Date: 2017-10-22 12:22:29
10	Hyperelliptic Curves Peter Birkner Technische Universiteit Eindhoven DIAMANT Summer School on Elliptic and Hyperelliptic Curve Cryptography Add to Reading List Source URL: www.pbirkner.fastmail.fm Language: English - Date: 2008-09-19 03:32:20