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» Elliptic Curve Cryptosystems and Side-channel Attacks
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IACR
2011
120views more  IACR 2011»
12 years 7 months ago
Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main t...
David Jao, Luca De Feo
CTRSA
2004
Springer
114views Cryptology» more  CTRSA 2004»
14 years 27 days ago
Flexible Hardware Design for RSA and Elliptic Curve Cryptosystems
This paper presents a scalable hardware implementation of both commonly used public key cryptosystems, RSA and Elliptic Curve Cryptosystem (ECC) on the same platform. The introduce...
Lejla Batina, Geeke Bruin-Muurling, Siddika Berna ...
ANTS
2000
Springer
133views Algorithms» more  ANTS 2000»
13 years 12 months ago
Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem
Abstract. Essentially all subexponential time algorithms for the discrete logarithm problem over nite elds are based on the index calculus idea. In proposing cryptosystems based on...
Ming-Deh A. Huang, Ka Lam Kueh, Ki-Seng Tan
ASIACRYPT
2008
Springer
13 years 9 months ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
13 years 7 months ago
Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from ellip...
Qi Cheng, Ming-Deh A. Huang