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Paper Abstract and Keywords
Presentation 2016-07-29 10:15
A Consideration of an Efficient Calculation over the Extension Field of Degree 4 for Elliptic Curve Pairing Cryptography
Akihito Sanada (Okayama Univ.), Sylvain Duquesne (Univ. Rennes 1), Masaaki Shirase (FUN), Yasuyuki Nogami (Okayama Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Pairing based cryptography with BLS(Boneh-Lynn-Shacham) curve is defined over extension field of degree 24 .
Base extension field of BLS curve is $mathbb{F}_{p^4}$ , therefore efficient arithmetic operation over $mathbb{F}_{p^4}$ is important for the efficiency of pairing operations in BLS curve.
In this paper, we improved CVMA(Cyclic Vector Multiplication Algorithm) for more efficient multiplication and squaring over $mathbb{F}_{p^2}$ and $mathbb{F}_{p^4}$.
This paper has also showed a comparison between CVMA-based and Karatsuba-based method that shows the performance of CVMA better than Karatsuba-based method.
Keyword (in Japanese) (See Japanese page) 
(in English) Pairing based cryptography / Karatsuba-based method / Cyclic Vector Multiplication Algorithm / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 163, IT2016-29, pp. 45-50, July 2016.
Paper # IT2016-29 
Date of Issue 2016-07-21 (IT) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee IT  
Conference Date 2016-07-28 - 2016-07-29 
Place (in Japanese) (See Japanese page) 
Place (in English) Seminar House, Fukuoka Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) freshman session, general 
Paper Information
Registration To IT 
Conference Code 2016-07-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Consideration of an Efficient Calculation over the Extension Field of Degree 4 for Elliptic Curve Pairing Cryptography 
Sub Title (in English)  
Keyword(1) Pairing based cryptography  
Keyword(2) Karatsuba-based method  
Keyword(3) Cyclic Vector Multiplication Algorithm  
1st Author's Name Akihito Sanada  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Sylvain Duquesne  
2nd Author's Affiliation University Rennes 1 (Univ. Rennes 1)
3rd Author's Name Masaaki Shirase  
3rd Author's Affiliation Future University Hakodate (FUN)
4th Author's Name Yasuyuki Nogami  
4th Author's Affiliation Okayama University (Okayama Univ.)
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Date Time 2016-07-29 10:15:00 
Presentation Time 25 
Registration for IT 
Paper # IEICE-IT2016-29 
Volume (vol) IEICE-116 
Number (no) no.163 
Page pp.45-50 
#Pages IEICE-6 
Date of Issue IEICE-IT-2016-07-21 

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