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IEICE Trans

Keyword : fast implementation

A Multiplication Algorithm in Fpm Such That p>m with a Special Class of Gauss Period Normal Bases
Hidehiro KATO Yasuyuki NOGAMI Tomoki YOSHIDA Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/01/01
Vol. E92-A  No. 1 ; pp. 173-181
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
extension field, public-key cryptography, fast implementation, Gauss period normal bases, optimal normal basis, 
 Summary | Full Text:PDF
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 field, public-key cryptosystem, fast implementation, optimal extension field, optimal normal basis, 
 Summary | Full Text:PDF
Efficient τ-Adic Sliding Window Method on Elliptic Curve Cryptosystems
Hiroaki OGURO Tetsutaro KOBAYASHI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/01/01
Vol. E86-A  No. 1 ; pp. 113-120
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Asymmetric Ciphers
Keyword: 
elliptic curve cryptosystem, scalar multiplication, τ-adic sliding window method, precomputation, fast implementation, 
 Summary | Full Text:PDF
Speeding Up Elliptic Scalar Multiplication Using Multidoubling
Yasuyuki SAKAI Kouichi SAKURAI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/05/01
Vol. E85-A  No. 5 ; pp. 1075-1083
Type of Manuscript:  Special Section LETTER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
elliptic curve cryptosystem, scalar multiplication, Montgomery form, multidoubling, fast implementation, 
 Summary | Full Text:PDF