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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
ITCC
2005
IEEE
14 years 1 months ago
A Scalable and High Performance Elliptic Curve Processor with Resistance to Timing Attacks
This paper presents a high performance and scalable elliptic curve processor which is designed to be resistant against timing attacks. The point multiplication algorithm (double-a...
Alireza Hodjat, David Hwang, Ingrid Verbauwhede
MASCOTS
2001
13 years 9 months ago
Performance of Finite Field Arithmetic in an Elliptic Curve Cryptosystem
As the Internet commerce becomes a more important part of the economy, network security is receiving more emphasis. Time spent in data encryption can be a significant performance ...
Zhi Li, John Higgins, Mark J. Clement
CORR
2010
Springer
192views Education» more  CORR 2010»
13 years 5 months ago
Constructing elliptic curve isogenies in quantum subexponential time
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog...
Andrew M. Childs, David Jao, Vladimir Soukharev
ICISC
2004
99views Cryptology» more  ICISC 2004»
13 years 9 months ago
Fractional Windows Revisited: Improved Signed-Digit Representations for Efficient Exponentiation
Abstract. This paper extends results concerning efficient exponentiation in groups where inversion is easy (e.g. in elliptic curve cryptography). It examines the right-to-left and ...
Bodo Möller