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PAIRING
2010
Springer
237views Cryptology» more  PAIRING 2010»
14 years 1 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»
14 years 8 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»
14 years 9 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