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» Supersingular Elliptic Curves in Cryptography
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EUROCRYPT
2009
Springer
16 years 8 days ago
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
Steven D. Galbraith, Xibin Lin, Michael Scott
IPL
2007
105views more  IPL 2007»
14 years 11 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
IJNSEC
2010
104views more  IJNSEC 2010»
14 years 6 months ago
Construction of Large Families of Pseudorandom Subsets of the Set {1, 2, ..., N} Using Elliptic Curves
Pseudo-random subsets of the set {1, 2, . . . , N} have many applications in the fields of network security, cryptography and other security issues. Recently, Dartyge and S
Zhixiong Chen, Li Xu, Chenhuang Wu
PAIRING
2010
Springer
133views Cryptology» more  PAIRING 2010»
14 years 9 months ago
Pairing Computation on Elliptic Curves with Efficiently Computable Endomorphism and Small Embedding Degree
Scott uses an efficiently computable isomorphism in order to optimize pairing computation on a particular class of curves with embedding degree 2. He points out that pairing implem...
Sorina Ionica, Antoine Joux
CRYPTO
1991
Springer
150views Cryptology» more  CRYPTO 1991»
15 years 3 months ago
CM-Curves with Good Cryptographic Properties
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...
Neal Koblitz