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» Double-Base Number System for Multi-scalar Multiplications
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EUROCRYPT
2009
Springer
14 years 8 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
MYCRYPT
2005
Springer
189views Cryptology» more  MYCRYPT 2005»
14 years 1 months ago
An Analysis of Double Base Number Systems and a Sublinear Scalar Multiplication Algorithm
In this paper we produce a practical and efficient algorithm to find a decomposition of type n = kˆ i=1 2si 3ti , si, ti ∈ N ∪ {0} with k ≤   c + o(1) ¡ log n log log n ....
Mathieu Ciet, Francesco Sica
INDOCRYPT
2007
Springer
14 years 1 months ago
Optimizing Double-Base Elliptic-Curve Single-Scalar Multiplication
This paper analyzes the best speeds that can be obtained for single-scalar multiplication with variable base point by combining a huge range of options: – many choices of coordin...
Daniel J. Bernstein, Peter Birkner, Tanja Lange, C...