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» Arithmetic on superelliptic curves
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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...
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
CHES
2004
Springer
148views Cryptology» more  CHES 2004»
14 years 1 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
ANTS
2010
Springer
252views Algorithms» more  ANTS 2010»
13 years 11 months ago
On a Problem of Hajdu and Tengely
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
Samir Siksek, Michael Stoll
ESAS
2006
Springer
13 years 9 months ago
Low-Cost Elliptic Curve Cryptography for Wireless Sensor Networks
This work describes a low-cost Public-Key Cryptography (PKC) based solution for security services such as key-distribution and authentication as required for wireless sensor networ...
Lejla Batina, Nele Mentens, Kazuo Sakiyama, Bart P...