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| Presentation | 2016-07-15 14:30 Algebraic Surface Cryptosystems using Polynomial Approximate GCD Yuichi Komano, Koichiro Akiyama (Toshiba), Yasuhiro Goto (Hokkaido Univ. of Education), Koji Nuida, Goichiro Hanaoka (AIST)  ISEC2016-35 SITE2016-29 ICSS2016-35 EMM2016-43 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Since the original proposal in 2004, several attacks have been reported against algebraic surface cryptosystems. This report proposes a new construction (possibly) resistant to these attacks. Achieving such resistance, our proposal adds a new low-degree random polynomial, in addition to another random polynomial as in the previous constructions. In decryption, a user uses a secret key (section on the algebraic surface) to remove the latter random polynomial and then he recovers a plaintext free from the former low-degree random polynomial by calculating polynomial approximate GCD. The security of our proposal is based on a decision problem defined in this report; however, the estimation of its difficulty still remains as a future work. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | post quantum cryptography / algebraic surface / polynomial approximate GCD / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 129, ISEC2016-35, pp. 217-222, July 2016. | |
| Paper # | ISEC2016-35 | |
| Date of Issue | 2016-07-07 (ISEC, SITE, ICSS, EMM) | |
| 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) | |
| Download PDF | ISEC2016-35 SITE2016-29 ICSS2016-35 EMM2016-43 |
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| Conference Information | |
| Committee | EMM ISEC SITE ICSS IPSJ-CSEC IPSJ-SPT |
| Conference Date | 2016-07-14 - 2016-07-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | security, etc |
| Paper Information | |
| Registration To | ISEC |
| Conference Code | 2016-07-EMM-ISEC-SITE-ICSS-CSEC-SPT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Algebraic Surface Cryptosystems using Polynomial Approximate GCD |
| Sub Title (in English) | |
| Keyword(1) | post quantum cryptography |
| Keyword(2) | algebraic surface |
| Keyword(3) | polynomial approximate GCD |
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| 1st Author's Name | Yuichi Komano |
| 1st Author's Affiliation | Toshiba Corporation (Toshiba) |
| 2nd Author's Name | Koichiro Akiyama |
| 2nd Author's Affiliation | Toshiba Corporation (Toshiba) |
| 3rd Author's Name | Yasuhiro Goto |
| 3rd Author's Affiliation | Hokkaido University of Education (Hokkaido Univ. of Education) |
| 4th Author's Name | Koji Nuida |
| 4th Author's Affiliation | National Institute of Advanced Industrial Science and Technology (AIST) |
| 5th Author's Name | Goichiro Hanaoka |
| 5th Author's Affiliation | National Institute of Advanced Industrial Science and Technology (AIST) |
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| Speaker | Author-1 |
| Date Time | 2016-07-15 14:30:00 |
| Presentation Time | 25 minutes |
| Registration for | ISEC |
| Paper # | ISEC2016-35, SITE2016-29, ICSS2016-35, EMM2016-43 |
| Volume (vol) | vol.116 |
| Number (no) | no.129(ISEC), no.130(SITE), no.131(ICSS), no.132(EMM) |
| Page | pp.217-222 |
| #Pages | 6 |
| Date of Issue | 2016-07-07 (ISEC, SITE, ICSS, EMM) |
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