Paper Abstract and Keywords |
Presentation |
2018-05-16 10:25
Determining BLS Curves for Pairing over Efficient Tower of Extension Field Yuki Nanjo, Md. Al-Amin Khandaker (Okayama Univ.), Masaaki Shirase (Future Univ. Hakodate), Takuya Kusaka, Yasuyuki Nogami (Okayama Univ.) ISEC2018-2 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Pairing-based cryptography (PBC) is receiving a lot of attention since it enables many innovative and multi-functional cryptographic applications based on pairing. Determining pairing-friendly elliptic curves for certain parameter is an important issue to be addressed. Barreto-Lynn-Scott (BLS) curve is pairing-friendly elliptic curve embedding degree 12 given by $E_b:y^2=x^3+b$.
The usual practice of determining a BLS curve coefficient $b$ requires time-consuming mathematical operations such as modular square root and scalar multiplication. Therefore the purpose of this work is determining coefficient $b$ without such time-consuming operations. This paper proposes the efficient way to determine that by setting $b=1$ or $b=2^{6lpm2}$, $lin mathbb{Z}$ over conditions to construct the efficient tower of extension field. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Pairing / Barreto-Lynn-Scott (BLS) Curves / Tower of Extension Field / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 30, ISEC2018-2, pp. 9-16, May 2018. |
Paper # |
ISEC2018-2 |
Date of Issue |
2018-05-09 (ISEC) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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ISEC2018-2 |
Conference Information |
Committee |
ISEC |
Conference Date |
2018-05-16 - 2018-05-16 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ookayama Campus, Tokyo Institute of Technology |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2018-05-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Determining BLS Curves for Pairing over Efficient Tower of Extension Field |
Sub Title (in English) |
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Keyword(1) |
Pairing |
Keyword(2) |
Barreto-Lynn-Scott (BLS) Curves |
Keyword(3) |
Tower of Extension Field |
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1st Author's Name |
Yuki Nanjo |
1st Author's Affiliation |
Okayama University (Okayama Univ.) |
2nd Author's Name |
Md. Al-Amin Khandaker |
2nd Author's Affiliation |
Okayama University (Okayama Univ.) |
3rd Author's Name |
Masaaki Shirase |
3rd Author's Affiliation |
Future University Hakodate (Future Univ. Hakodate) |
4th Author's Name |
Takuya Kusaka |
4th Author's Affiliation |
Okayama University (Okayama Univ.) |
5th Author's Name |
Yasuyuki Nogami |
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Okayama University (Okayama Univ.) |
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Speaker |
Author-1 |
Date Time |
2018-05-16 10:25:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2018-2 |
Volume (vol) |
vol.118 |
Number (no) |
no.30 |
Page |
pp.9-16 |
#Pages |
8 |
Date of Issue |
2018-05-09 (ISEC) |
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