Keyword : extension field


Key Recovery Attacks on Multivariate Public Key Cryptosystems Derived from Quadratic Forms over an Extension Field
Yasufumi HASHIMOTO 
Publication:   
Publication Date: 2017/01/01
Vol. E100-A  No. 1 ; pp. 18-25
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: 
Keyword: 
multivariate public-key cryptosystems (MPKC)post-quantum cryptographyextension fieldquadratic forms
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Cyclic Vector Multiplication Algorithm and Existence Probability of Gauss Period Normal Basis
Kenta NEKADO Yasuyuki NOGAMI Hidehiro KATO Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/01/01
Vol. E94-A  No. 1 ; pp. 172-179
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
extension fieldGauss period normal basisall one polynomial fieldcyclic vector multiplication algorithm
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Universal Construction of a 12th Degree Extension Field for Asymmetric Pairing
Masaaki SHIRASE 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/01/01
Vol. E94-A  No. 1 ; pp. 156-164
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
pairingBarreto-Naehrig curveextension fieldquadratic residuecubic residueEuler's conjecture
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Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis
Yasuyuki NOGAMI Ryo NAMBA Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/06/01
Vol. E92-A  No. 6 ; pp. 1500-1507
Type of Manuscript:  PAPER
Category: Information Theory
Keyword: 
public key cryptographyextension fieldGauss period normal basisbasis conversion
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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
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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
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