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» Fast Point Decompression for Standard Elliptic Curves
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PKC
2004
Springer
158views Cryptology» more  PKC 2004»
14 years 25 days 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
EUROCRYPT
1999
Springer
13 years 11 months ago
On the Performance of Hyperelliptic Cryptosystems
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
Nigel P. Smart
CHES
2004
Springer
155views Cryptology» more  CHES 2004»
14 years 26 days ago
A Low-Cost ECC Coprocessor for Smartcards
Abstract. In this article we present a low-cost coprocessor for smartcards which supports all necessary mathematical operations for a fast calculation of the Elliptic Curve Digital...
Harald Aigner, Holger Bock, Markus Hütter, Jo...
ASIACRYPT
2008
Springer
13 years 9 months ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
EUROCRYPT
2001
Springer
13 years 12 months ago
Finding Secure Curves with the Satoh-FGH Algorithm and an Early-Abort Strategy
The use of elliptic curves in cryptography relies on the ability to count the number of points on a given curve. Before 1999, the SEA algorithm was the only efficient method known ...
Mireille Fouquet, Pierrick Gaudry, Robert Harley