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EUROCRYPT
2009
Springer
14 years 5 months 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»
13 years 5 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
EUROCRYPT
2003
Springer
13 years 10 months ago
Improved Algorithms for Efficient Arithmetic on Elliptic Curves Using Fast Endomorphisms
Mathieu Ciet, Tanja Lange, Francesco Sica, Jean-Ja...
ACISP
2007
Springer
13 years 9 months ago
Affine Precomputation with Sole Inversion in Elliptic Curve Cryptography
This paper presents a new approach to precompute all odd points [3]P, [5]P, . . . , [2k - 1]P, k 2 on an elliptic curve over Fp. Those points are required for the efficient evalua...
Erik Dahmen, Katsuyuki Okeya, Daniel Schepers
ANTS
2006
Springer
101views Algorithms» more  ANTS 2006»
13 years 9 months ago
High Security Pairing-Based Cryptography Revisited
The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We ...
Robert Granger, Dan Page, Nigel P. Smart