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» Coverings of Curves of Genus 2
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WAIFI
2010
Springer
158views Mathematics» more  WAIFI 2010»
14 years 7 months ago
On the Efficiency and Security of Pairing-Based Protocols in the Type 1 and Type 4 Settings
Abstract. We focus on the implementation and security aspects of cryptographic protocols that use Type 1 and Type 4 pairings. On the implementation front, we report improved timing...
Sanjit Chatterjee, Darrel Hankerson, Alfred Meneze...
DCG
2011
14 years 4 months ago
The Expected Genus of a Random Chord Diagram
To any generic curve in an oriented surface there corresponds an oriented chord diagram, and any oriented chord diagram may be realized by a curve in some oriented surface. The gen...
Nathan Linial, Tahl Nowik
JOC
2006
103views more  JOC 2006»
14 years 9 months ago
An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for ...
Jan Denef, Frederik Vercauteren
AAECC
2007
Springer
88views Algorithms» more  AAECC 2007»
14 years 9 months ago
Hyperelliptic curves with reduced automorphism group A5
We study genus g hyperelliptic curves with reduced automorphism group A5 and give equations y2 = f(x) for such curves in both cases where f(x) is a decomposable polynomial in x2 or...
David Sevilla, Tanush Shaska
ACISP
2005
Springer
15 years 3 months ago
A Complete Divisor Class Halving Algorithm for Hyperelliptic Curve Cryptosystems of Genus Two
We deal with a divisor class halving algorithm on hyperelliptic curve cryptosystems (HECC), which can be used for scalar multiplication, instead of a doubling algorithm. It is not ...
Izuru Kitamura, Masanobu Katagi, Tsuyoshi Takagi