Keyword : hyperelliptic curve cryptosystems


Skew-Frobenius Maps on Hyperelliptic Curves
Shunji KOZAKI Kazuto MATSUO Yasutomo SHIMBARA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/07/01
Vol. E91-A  No. 7 ; pp. 1839-1843
Type of Manuscript:  LETTER
Category: Cryptography and Information Security
Keyword: 
hyperelliptic curve cryptosystemsscalar multiplicationsFrobenius expansionsskew-Frobenius maps
 Summary | Full Text:PDF(96.8KB)

A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields
Seigo ARITA Kazuto MATSUO Koh-ichi NAGAO Mahoro SHIMURA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2006/05/01
Vol. E89-A  No. 5 ; pp. 1246-1254
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
elliptic curve cryptosystemshyperelliptic curve cryptosystemsWeil descent attackScholten formCab curves
 Summary | Full Text:PDF(285.6KB)

Improvements of Addition Algorithm on Genus 3 Hyperelliptic Curves and Their Implementation
Masaki GONDA Kazuto MATSUO Kazumaro AOKI Jinhui CHAO Shigeo TSUJII 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/01/01
Vol. E88-A  No. 1 ; pp. 89-96
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Public Key Cryptography
Keyword: 
genus 3 hyperelliptic curveshyperelliptic curve cryptosystemsaddition algorithmCantor algorithmHarley algorithmToom's multiplication
 Summary | Full Text:PDF(225.6KB)

Baby Step Giant Step Algorithms in Point Counting of Hyperelliptic Curves
Kazuto MATSUO Jinhui CHAO Shigeo TSUJII 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/05/01
Vol. E86-A  No. 5 ; pp. 1127-1134
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
hyperelliptic curve cryptosystemshyperelliptic curvespoint counting algorithmsbaby step giant step algorithmsGaudry-Harley scheme
 Summary | Full Text:PDF(264.1KB)