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» Pipelining GF(P) Elliptic Curve Cryptography Computation
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FPL
2010
Springer
168views Hardware» more  FPL 2010»
13 years 3 months ago
Pipelined FPGA Adders
Integer addition is a universal building block, and applications such as quad-precision floating-point or elliptic curve cryptography now demand precisions well beyond 64 bits. Thi...
Florent de Dinechin, Hong Diep Nguyen, Bogdan Pasc...
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
CMA
2010
183views more  CMA 2010»
13 years 1 months ago
Ramanujan's class invariants and their use in elliptic curve cryptography
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...
Elisavet Konstantinou, Aristides Kontogeorgis
IEICET
2008
147views more  IEICET 2008»
13 years 5 months ago
Computing the Ate Pairing on Elliptic Curves with Embedding Degree k = 9
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
Xibin Lin, Changan Zhao, Fangguo Zhang, Yanming Wa...
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