Presentation 2008-07-25
A Consideration on Efficient Exponentiation in Extension Field for Pairing-based Cryptography
Tomoki YOSHIDA, Hidehiro KATO, Kenta NEKADO, Yasuyuki NOGAMI, Yoshitaka MORIKAWA,
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Abstract(in English) In recent years, pairing-based cryptographies such as ID-base cryptography and group signature have been studied. These cryptographies require exponentiations in multiplicative group G_T. In this paper, the author proposes an efficient exponentiation method for the case of Barreto-Naehrig (BN) curve. Additionally, the author shows implementation results of the proposed method with conventional techniques such as binary method, window method, NAF method and Avanzi method. Then, the author shows the proposed method carries out exponentiation fast.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) pairng / exponentiation / extension field / Barreto-Naehrig curve
Paper # ISEC2008-49
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Committee ISEC
Conference Date 2008/7/17(1days)
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Registration To Information Security (ISEC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Consideration on Efficient Exponentiation in Extension Field for Pairing-based Cryptography
Sub Title (in English)
Keyword(1) pairng
Keyword(2) exponentiation
Keyword(3) extension field
Keyword(4) Barreto-Naehrig curve
1st Author's Name Tomoki YOSHIDA
1st Author's Affiliation Graduate School of Natural Science and Technology, Okayama University()
2nd Author's Name Hidehiro KATO
2nd Author's Affiliation Graduate School of Natural Science and Technology, Okayama University
3rd Author's Name Kenta NEKADO
3rd Author's Affiliation Graduate School of Natural Science and Technology, Okayama University
4th Author's Name Yasuyuki NOGAMI
4th Author's Affiliation Graduate School of Natural Science and Technology, Okayama University
5th Author's Name Yoshitaka MORIKAWA
5th Author's Affiliation Graduate School of Natural Science and Technology, Okayama University
Date 2008-07-25
Paper # ISEC2008-49
Volume (vol) vol.108
Number (no) 162
Page pp.pp.-
#Pages 7
Date of Issue