Keyword : final exponentiation


Improvement of Final Exponentiation for Pairings on BLS Curves with Embedding Degree 15
Yuki NANJO Masaaki SHIRASE Takuya KUSAKA Yasuyuki NOGAMI 
Publication:   
Publication Date: 2021/01/01
Vol. E104-A  No. 1 ; pp. 315-318
Type of Manuscript:  LETTER
Category: Cryptography and Information Security
Keyword: 
pairing-based cryptographyBLS curvesfinal exponentiation
 Summary | Full Text:PDF(229.1KB)

Computing the Ate Pairing on Elliptic Curves with Embedding Degree k=9
Xibin LIN Chang-An ZHAO Fangguo ZHANG Yanming WANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/09/01
Vol. E91-A  No. 9 ; pp. 2387-2393
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
ate pairingcubic twistdenominator eliminationfinal exponentiation
 Summary | Full Text:PDF(214.3KB)

Some Efficient Algorithms for the Final Exponentiation of ηT Pairing
Masaaki SHIRASE Tsuyoshi TAKAGI Eiji OKAMOTO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/01/01
Vol. E91-A  No. 1 ; pp. 221-228
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Implementation
Keyword: 
Tate pairingηT pairingfinal exponentiationtorus
 Summary | Full Text:PDF(252.8KB)