Seigo ARITA

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(285.6KB)
An Addition Algorithm in Jacobian of C34 Curve
Seigo ARITA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/06/01
Vol. E88-A  No. 6  pp. 1589-1598
Type of Manuscript:  PAPER
Category: Information Security
Keyword: 
algebraic curve cryptosystem, C34 curve, Cab curve, addition in Jacobian, Groebner base, 
 Summary | Full Text:PDF(170.2KB)
Construction of Secure Cab Curves Using Modular Curves
Seigo ARITA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2001/11/01
Vol. E84-A  No. 11  pp. 2930-2938
Type of Manuscript:  PAPER
Category: Information Security
Keyword: 
discrete logarithm, modular curve, hyperelliptic curve, Cab curve, 
 Summary | Full Text:PDF(232.9KB)
Gaudry's Variant against Cab Curves
Seigo ARITA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2000/09/25
Vol. E83-A  No. 9  pp. 1809-1814
Type of Manuscript:  PAPER
Category: Information Security
Keyword: 
discrete logarithm, hyperelliptic curve, superelliptic curve, Cab curve, 
 Summary | Full Text:PDF(251.9KB)