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JUCS
2008
140views more  JUCS 2008»
10 years 11 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...
SACRYPT
2004
Springer
113views Cryptology» more  SACRYPT 2004»
11 years 5 months ago
A Note on the Signed Sliding Window Integer Recoding and a Left-to-Right Analogue
Addition-subtraction-chains obtained from signed digit recodings of integers are a common tool for computing multiples of random elements of a group where the computation of invers...
Roberto Maria Avanzi
PKC
2004
Springer
158views Cryptology» more  PKC 2004»
11 years 5 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
MYCRYPT
2005
Springer
189views Cryptology» more  MYCRYPT 2005»
11 years 5 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
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