Sciweavers

100 search results - page 9 / 20
» Arithmetic on superelliptic curves
Sort
View
CHES
2009
Springer
230views Cryptology» more  CHES 2009»
15 years 10 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...
70
Voted
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
15 years 4 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»
15 years 2 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»
15 years 1 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
14 years 11 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...