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IEICE Trans

Koh-ichi NAGAO

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 cryptosystems, hyperelliptic curve cryptosystems, Weil descent attack, Scholten form, Cab curves, 
 Summary | Full Text:PDF
Analysis of Baby-Step Giant-Step Algorithms for Non-uniform Distributions
Koh-ichi NAGAO Shigenori UCHIYAMA Naoki KANAYAMA Kazuto MATSUO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2004/01/01
Vol. E87-A  No. 1  pp. 10-17
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Fundamental
Keyword: 
baby-step giant-step algorithm, finite group, 
 Summary | Full Text:PDF
Generating Secure Genus Two Hyperelliptic Curves Using Elkies' Point Counting Algorithm
Naoki KANAYAMA Koh-ichi NAGAO Shigenori UCHIYAMA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/04/01
Vol. E86-A  No. 4  pp. 919-927
Type of Manuscript:  PAPER
Category: Information Security
Keyword: 
hyperelliptic curve, BSGS, point counting, 
 Summary | Full Text:PDF
On the Euclidean Algorithm of Polynomials
Yuichi FUTA Koh-ichi NAGAO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2001/05/01
Vol. E84-A  No. 5  pp. 1261-1265
Type of Manuscript:  Special Section LETTER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
Euclidean algorithm, polynomial, Karatsuba's algorithm, 
 Summary | Full Text:PDF