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» Efficient elliptic curve exponentiation
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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
CORR
2010
Springer
192views Education» more  CORR 2010»
13 years 4 months ago
Constructing elliptic curve isogenies in quantum subexponential time
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog...
Andrew M. Childs, David Jao, Vladimir Soukharev
DCC
2011
IEEE
13 years 2 months ago
Computing bilinear pairings on elliptic curves with automorphisms
In this paper, we present a novel method for constructing a super-optimal pairing with great efficiency, which we call the omega pairing. The computation of the omega pairing requi...
Changan Zhao, Dongqing Xie, Fangguo Zhang, Jingwei...
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 8 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Patrick Longa, Catherine H. Gebotys
ISDA
2006
IEEE
14 years 1 months ago
Efficient Multiplier over Finite Field Represented in Type II Optimal Normal Basis
- Elliptic curve cryptography plays a crucial role in networking and information security area, and modular multiplication arithmetic over finite field is a necessary computation p...
Youbo Wang, Zhiguang Tian, Xinyan Bi, Zhendong Niu