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PAIRING
2010
Springer
237views Cryptology» more  PAIRING 2010»
13 years 3 months ago
High-Speed Software Implementation of the Optimal Ate Pairing over Barreto-Naehrig Curves
This paper describes the design of a fast software library for the computation of the optimal ate pairing on a Barreto–Naehrig elliptic curve. Our library is able to compute the ...
Jean-Luc Beuchat, Jorge E. González-D&iacut...
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
PAIRING
2007
Springer
108views Cryptology» more  PAIRING 2007»
13 years 10 months ago
Constructing Pairing-Friendly Genus 2 Curves with Ordinary Jacobians
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
David Freeman