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Paper Abstract and Keywords
Presentation 2012-05-18 13:50
A Note on Efficient Software Implementation of the Scalar Multiplication over Barreto-Naehrig Curves
Tadanori Teruya, Naoki Kanayama, Eiji Okamoto (Univ. of Tsukuba)
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we describe a design of efficient software implementation of the scalar multiplication over the subgroup, which is characterized as the p-th Frobenius endomorphism and the p-scalar multiplication are identical, of Barreto-Naehrig curves defined over prime field with characteristic p. We implement the simultaneous multiple point multiplication based on the Gallant-Lambert-Vanstone method, and optimize the integer decomposition and the scalar multiplication based on the calculation times of the field arithmetic. We achieved 40% of calculation time of the binary method.
Keyword (in Japanese) (See Japanese page) 
(in English) scalar multiplication / Barreto-Naehrig curve / software implementation / / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 39, ISEC2012-3, pp. 11-18, May 2012.
Paper # ISEC2012-3 
Date of Issue 2012-05-11 (ISEC) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee ISEC  
Conference Date 2012-05-18 - 2012-05-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2012-05-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Note on Efficient Software Implementation of the Scalar Multiplication over Barreto-Naehrig Curves 
Sub Title (in English)  
Keyword(1) scalar multiplication  
Keyword(2) Barreto-Naehrig curve  
Keyword(3) software implementation  
1st Author's Name Tadanori Teruya  
1st Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
2nd Author's Name Naoki Kanayama  
2nd Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
3rd Author's Name Eiji Okamoto  
3rd Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
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Date Time 2012-05-18 13:50:00 
Presentation Time 25 
Registration for ISEC 
Paper # IEICE-ISEC2012-3 
Volume (vol) IEICE-112 
Number (no) no.39 
Page pp.11-18 
#Pages IEICE-8 
Date of Issue IEICE-ISEC-2012-05-11 

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