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MOC
2000
80views more  MOC 2000»
13 years 7 months ago
On a unit group generated by special values of Siegel modular functions
Abstract. There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of propert...
Takashi Fukuda, Keiichi Komatsu
CHES
2006
Springer
108views Cryptology» more  CHES 2006»
13 years 11 months ago
Superscalar Coprocessor for High-Speed Curve-Based Cryptography
Abstract. We propose a superscalar coprocessor for high-speed curvebased cryptography. It accelerates scalar multiplication by exploiting instruction-level parallelism (ILP) dynami...
Kazuo Sakiyama, Lejla Batina, Bart Preneel, Ingrid...
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 ï...
Samir Siksek, Michael Stoll
IEICET
2008
126views more  IEICET 2008»
13 years 7 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara
ASIACRYPT
2003
Springer
13 years 11 months ago
Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
Pradeep Kumar Mishra, Palash Sarkar