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» Faster Addition and Doubling on Elliptic Curves
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AICCSA
2006
IEEE
142views Hardware» more  AICCSA 2006»
13 years 11 months ago
Pipelining GF(P) Elliptic Curve Cryptography Computation
This paper proposes a new method to compute Elliptic Curve Cryptography in Galois Fields GF(p). The method incorporates pipelining to utilize the benefit of both parallel and seri...
Adnan Abdul-Aziz Gutub, Mohammad K. Ibrahim, Ahmad...
ASIACRYPT
2006
Springer
13 years 8 months ago
Extending Scalar Multiplication Using Double Bases
Abstract. It has been recently acknowledged [4, 6, 9] that the use of double bases representations of scalars n, that is an expression of the form n = e,s,t(-1)e As Bt can speed up...
Roberto Maria Avanzi, Vassil S. Dimitrov, Christop...
IPL
2007
105views more  IPL 2007»
13 years 4 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
IWSEC
2010
Springer
13 years 2 months ago
Differential Addition in Generalized Edwards Coordinates
We use two parametrizations of points on elliptic curves in generalized Edwards form x2 + y2 = c2 (1 + dx2 y2 ) that omit the xcoordinate. The first parametrization leads to a diff...
Benjamin Justus, Daniel Loebenberger
ASIACRYPT
2001
Springer
13 years 9 months ago
Speeding Up XTR
This paper describes several speedups and simpliļ¬cations for XTR. The most important results are new XTR double and single exponentiation methods where the latter requires a chea...
Martijn Stam, Arjen K. Lenstra