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Elliptic 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	In search of CurveSwap: Measuring elliptic curve implementations in the wild Luke Valenta∗ , Nick Sullivan† , Antonio Sanso‡ , Nadia Heninger∗ ∗ University Add to Reading List Source URL: www.seas.upenn.edu Language: English - Date: 2018-07-31 15:14:59 Cryptography Elliptic curve cryptography Elliptic-curve DiffieHellman DiffieHellman key exchange Cryptographic protocols Alice and Bob Computational hardness assumptions Transport Layer Security WolfSSH
7	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
8	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography Add to Reading List Source URL: www.pbirkner.fastmail.fm Language: English - Date: 2008-09-22 17:16:30
9	SHADOW LINES IN THE ARITHMETIC OF ELLIPTIC CURVES J. S. BALAKRISHNAN, M. C ¸ IPERIANI, J. LANG, B. MIRZA, AND R. NEWTON Abstract. Let E/Q be an elliptic curve and p a rational prime of good ordinary reduction. For every Add to Reading List Source URL: math.bu.edu Language: English - Date: 2016-09-04 19:46:17