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» Hardware Factorization Based on Elliptic Curve Method
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ASIACRYPT
2006
Springer
14 years 10 days 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...
CHES
2005
Springer
111views Cryptology» more  CHES 2005»
14 years 2 months ago
Hardware Acceleration of the Tate Pairing in Characteristic Three
Although identity based cryptography offers many functional advantages over conventional public key alternatives, the computational costs are significantly greater. The core comp...
Philipp Grabher, Dan Page
CHES
2009
Springer
162views Cryptology» more  CHES 2009»
14 years 9 months ago
Hardware Accelerator for the Tate Pairing in Characteristic Three Based on Karatsuba-Ofman Multipliers
Abstract. This paper is devoted to the design of fast parallel accelerators for the cryptographic Tate pairing in characteristic three over supersingular elliptic curves. We propos...
Jean-Luc Beuchat, Jérémie Detrey, Ni...
JUCS
2008
140views more  JUCS 2008»
13 years 8 months ago
Parallel Formulations of Scalar Multiplication on Koblitz Curves
We present an algorithm that by using the and -1 Frobenius operators concurrently allows us to obtain a parallelized version of the classical -and-add scalar multiplication algor...
Omran Ahmadi, Darrel Hankerson, Francisco Rodr&iac...
PKC
2004
Springer
158views Cryptology» more  PKC 2004»
14 years 1 months ago
Faster Scalar Multiplication on Koblitz Curves Combining Point Halving with the Frobenius Endomorphism
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
Roberto Maria Avanzi, Mathieu Ciet, Francesco Sica