36 search results - page 4 / 8 » Montgomery Scalar Multiplication for Genus 2 Curves |
70
Voted
MYCRYPT
2005
Springer
15 years 3 months ago
2005
Springer
In this paper we produce a practical and efficient algorithm to find a decomposition of type n = k i=1 2si 3ti , si, ti ∈ N ∪ {0} with k ≤ c + o(1) ¡ log n log log n ....
IACR
2011
13 years 9 months ago
2011
Abstract. This paper proposes new explicit formulae for the point doubling, tripling and addition on ordinary Weierstrass elliptic curves with a point of order 3 over finite fiel...
JUCS
2008
14 years 9 months ago
2008
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...
PAIRING
2010
Springer
14 years 8 months ago
2010
Springer
In this paper we propose a very simple and efficient encoding function from Fq to points of a hyperelliptic curve over Fq of the form H : y2 = f(x) where f is an odd polynomial. Hy...
106
Voted
ESORICS
2011
Springer
13 years 9 months ago
2011
Springer
For over two decades, timing attacks have been an active area of research within applied cryptography. These attacks exploit cryptosystem or protocol implementations that do not ru...