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WAIFI
2010
Springer
194views Mathematics» more  WAIFI 2010»
14 years 20 days ago
Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
Naomi Benger, Michael Scott
CHES
2000
Springer
167views Cryptology» more  CHES 2000»
13 years 12 months ago
A High Performance Reconfigurable Elliptic Curve Processor for GF(2m)
This work proposes a processor architecture for elliptic curves cryptosystems over fields GF(2m ). This is a scalable architecture in terms of area and speed that exploits the abil...
Gerardo Orlando, Christof Paar
CHES
2006
Springer
125views Cryptology» more  CHES 2006»
13 years 11 months ago
Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware
A novel portable hardware architecture of the Elliptic Curve Method of factoring, designed and optimized for application in the relation collection step of the Number Field Sieve,...
Kris Gaj, Soonhak Kwon, Patrick Baier, Paul Kohlbr...
CHES
2009
Springer
230views Cryptology» more  CHES 2009»
14 years 8 months ago
Designing an ASIP for Cryptographic Pairings over Barreto-Naehrig Curves
Abstract. This paper presents a design-space exploration of an applicationspecific instruction-set processor (ASIP) for the computation of various cryptographic pairings over Barre...
David Kammler, Diandian Zhang, Dominik Auras, Gerd...
EUROCRYPT
2011
Springer
12 years 11 months ago
Faster Explicit Formulas for Computing Pairings over Ordinary Curves
Abstract. We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considere...
Diego F. Aranha, Koray Karabina, Patrick Longa, Ca...