Keyword : optimal extension field


Fast Implementation of Extension Fields with TypeII ONB and Cyclic Vector Multiplication Algorithm
Yasuyuki NOGAMI Shigeru SHINONAGA Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/05/01
Vol. E88-A  No. 5 ; pp. 1200-1208
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
extension fieldpublic-key cryptosystemfast implementationoptimal extension fieldoptimal normal basis
 Summary | Full Text:PDF

Finite Extension Field with Modulus of All-One Polynomial and Representation of Its Elements for Fast Arithmetic Operations
Yasuyuki NOGAMI Akinori SAITO Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/09/01
Vol. E86-A  No. 9 ; pp. 2376-2387
Type of Manuscript:  PAPER
Category: Information Theory
Keyword: 
optimal extension fieldFrobenius mappingnormal basisinversion
 Summary | Full Text:PDF

Efficient Arithmetic in Optimal Extension Fields Using Simultaneous Multiplication
Mun-Kyu LEE Kunsoo PARK 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/05/01
Vol. E86-A  No. 5 ; pp. 1316-1321
Type of Manuscript:  LETTER
Category: Information Security
Keyword: 
cryptographyelliptic curveoptimal extension fieldfinite field
 Summary | Full Text:PDF

A Cyclic Window Algorithm for Elliptic Curves over OEF
Tetsutaro KOBAYASHI Fumitaka HOSHINO Kazumaro AOKI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/01/01
Vol. E86-A  No. 1 ; pp. 121-128
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Asymmetric Ciphers
Keyword: 
cyclic window algorithmoptimal extension fieldbase-φ expansionelliptic curve cryptosystem
 Summary | Full Text:PDF