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» Computing L-Series of Hyperelliptic Curves
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ASIACRYPT
2001
Springer
13 years 9 months ago
Short Signatures from the Weil Pairing
Abstract. We introduce a short signature scheme based on the Computational Diffie-Hellman assumption on certain elliptic and hyper-elliptic curves. The signature length is half the...
Dan Boneh, Ben Lynn, Hovav Shacham
ASIACRYPT
2006
Springer
13 years 9 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
CTRSA
2006
Springer
183views Cryptology» more  CTRSA 2006»
13 years 9 months ago
Efficient Doubling on Genus 3 Curves over Binary Fields
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is scalar multiplication by an integer k, i.e., computing an integer k times a divisor D on ...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
ISCAS
2006
IEEE
102views Hardware» more  ISCAS 2006»
13 years 11 months ago
A fast dual-field modular arithmetic logic unit and its hardware implementation
— We propose a fast Modular Arithmetic Logic Unit (MALU) that is scalable in the digit size (d) and the field size (k). The datapath of MALU has chains of Carry Save Adders (CSA...
Kazuo Sakiyama, Bart Preneel, Ingrid Verbauwhede
ASIACRYPT
2003
Springer
13 years 11 months ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy