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IEICE Trans

Keyword : Frobenius mapping

Scalar Multiplication Using Frobenius Expansion over Twisted Elliptic Curve for Ate Pairing Based Cryptography
Yasuyuki NOGAMI Yumi SAKEMI Takumi OKIMOTO Kenta NEKADO Masataka AKANE Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/01/01
Vol. E92-A  No. 1 ; pp. 182-189
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
Ate pairing, BN curve, scalar multiplication, Frobenius mapping, twisted subfield computation, 
 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 field, Frobenius mapping, normal basis, inversion, 
 Summary | Full Text:PDF