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 fieldpublic-key cryptographyfast implementationGauss period normal basesoptimal normal basis
  Summary |  Full Text:PDF (215.8KB)

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 (183KB)

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 cryptosystemscalar multiplicationτ-adic sliding window methodprecomputationfast implementation
  Summary |  Full Text:PDF (883.3KB)

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 cryptosystemscalar multiplicationMontgomery formmultidoublingfast implementation
  Summary |  Full Text:PDF (262.5KB)