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IEICE Trans

Keyword : extension field

Construction of Singleton-Type Optimal LRCs from Existing LRCs and Near-MDS Codes
Qiang FU Buhong WANG Ruihu LI Ruipan YANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2023/08/01
Vol. E106-A  No. 8 ; pp. 1051-1056
Type of Manuscript:  PAPER
Category: Coding Theory
Keyword: 
Singleton-type bound, optimal locally repairable codes, near-MDS code, extension field, 
 Summary | Full Text:PDF
Key Recovery Attacks on Multivariate Public Key Cryptosystems Derived from Quadratic Forms over an Extension Field
Yasufumi HASHIMOTO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
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 cryptography, extension field, quadratic forms, 
 Summary | Full Text:PDF
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 field, Gauss period normal basis, all one polynomial field, cyclic vector multiplication algorithm, 
 Summary | Full Text:PDF
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: 
pairing, Barreto-Naehrig curve, extension field, quadratic residue, cubic residue, Euler's conjecture, 
 Summary | Full Text:PDF
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 cryptography, extension field, Gauss period normal basis, basis conversion, 
 Summary | Full Text:PDF
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