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CHES
2004
Springer
148views Cryptology» more  CHES 2004»
13 years 10 months ago
Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations
We present an implementation of elliptic curves and of hyperelliptic curves of genus 2 and 3 over prime fields. To achieve a fair comparison between the different types of groups,...
Roberto Maria Avanzi
EUROCRYPT
1999
Springer
13 years 8 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
2010
Springer
183views Cryptology» more  CHES 2010»
13 years 4 months ago
Coordinate Blinding over Large Prime Fields
In this paper we propose a multiplicative blinding scheme for protecting implementations of a scalar multiplication over elliptic curves. Specifically, this blinding method applies...
Michael Tunstall, Marc Joye
CTRSA
2001
Springer
121views Cryptology» more  CTRSA 2001»
13 years 9 months ago
Software Implementation of the NIST Elliptic Curves Over Prime Fields
Michael Brown, Darrel Hankerson, Julio Lópe...
ITCC
2005
IEEE
13 years 10 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang