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» Huff's Model for Elliptic Curves
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ANTS
2010
Springer
248views Algorithms» more  ANTS 2010»
13 years 9 months ago
Huff's Model for Elliptic Curves
Abstract. This paper revisits a model for elliptic curves over Q introduced by Huff in 1948 to study a diophantine problem. Huff's model readily extends over fields of odd cha...
Marc Joye, Mehdi Tibouchi, Damien Vergnaud
IPL
2007
105views more  IPL 2007»
13 years 6 months ago
Improving the arithmetic of elliptic curves in the Jacobi model
The use of elliptic curve cryptosystems on embedded systems has been becoming widespread for some years. Therefore the resistance of such cryptosystems to side-channel attacks is ...
Sylvain Duquesne
GMP
2003
IEEE
247views Solid Modeling» more  GMP 2003»
13 years 11 months ago
Message Recovery Signature Scheme Using Complementary Elliptic Curves
Elliptic curve cryptography is known for its complexity due to its discrete logarithm problem, and this gives advantage to the system used since the formula developed using this c...
Teo Chun Yew, Hailiza Kamarulhaili, Putra Sumari
CRYPTO
2010
Springer
188views Cryptology» more  CRYPTO 2010»
13 years 7 months ago
Efficient Indifferentiable Hashing into Ordinary Elliptic Curves
Abstract. We provide the first construction of a hash function into ordinary elliptic curves that is indifferentiable from a random oracle, based on Icart's deterministic enco...
Eric Brier, Jean-Sébastien Coron, Thomas Ic...
IJNSEC
2010
247views more  IJNSEC 2010»
13 years 28 days ago
Hardware Implementation of Efficient Modified Karatsuba Multiplier Used in Elliptic Curves
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
Sameh M. Shohdy, Ashraf El-Sisi, Nabil A. Ismail