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TC
2008
13 years 4 months ago
Provably Sublinear Point Multiplication on Koblitz Curves and Its Hardware Implementation
We describe algorithms for point multiplication on Koblitz curves using multiple-base expansions of the form k = P
V. S. Dimitrov, Kimmo U. Järvinen, M. J. Jaco...
JUCS
2008
140views more  JUCS 2008»
13 years 4 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...
EUROCRYPT
2009
Springer
14 years 5 months ago
Double-Base Number System for Multi-scalar Multiplications
Abstract. The Joint Sparse Form is currently the standard representation system to perform multi-scalar multiplications of the form [n]P + m[Q]. We introduce the concept of Joint D...
Christophe Doche, David R. Kohel, Francesco Sica
CARDIS
2000
Springer
124views Hardware» more  CARDIS 2000»
13 years 9 months ago
Elliptic Curve Cryptography on Smart Cards without Coprocessors
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Adam D. Woodbury, Daniel V. Bailey, Christof Paar
ASAP
2006
IEEE
110views Hardware» more  ASAP 2006»
13 years 11 months ago
Low-Cost Elliptic Curve Digital Signature Coprocessor for Smart Cards
This paper proposes different low-cost coprocessors for public key authentication on 8-bit smart cards. Elliptic curve cryptography is used for its efficiency per bit of key and ...
Guerric Meurice de Dormale, Renaud Ambroise, David...