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| Presentation | 2011-07-13 14:55 Construction of New Classes of Product-Sum Type Public Key Cryptosystem, K(IV)ΣPKC and K(I)ΣΠPKC Masao Kasahara (Osaka Gakuin Univ)  ISEC2011-24 SITE2011-21 ICSS2011-29 EMM2011-23 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this paper, we present a new class of knapsack type PKC referred to as K(IV)$\Sigma$PKC. In a sharp contrast with the conventional knapsack type PKC's, in our proposed scheme, K(III)$\Sigma$PKC, no conventional secret sequence but the natural binary number with noise is used. We show that the decryption process can be performed very fast due to the use of the conventional binary number. In K(IV)$\Sigma$PKC, noise sequences are pertinently used for improving the security. Despite the use of noise sequences we show that the coding rate, a more conservative measure for the security of knapsack PKC, can be made approximately 1.0. We second present K(I)$\Sigma \Pi$PKC. We show that K(I)$\Sigma \Pi$PKC is secure against the attacks based on Gr\"obner bases calculation and LLL algorithm. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Public-key Cryptosystem(PKC) / Product-sum type PKC / Subset-sum problem / Grobner base / LLL algorithm / PQC / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 123, ISEC2011-24, pp. 137-144, July 2011. | |
| Paper # | ISEC2011-24 | |
| Date of Issue | 2011-07-05 (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 | ISEC2011-24 SITE2011-21 ICSS2011-29 EMM2011-23 |
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| Conference Information | |
| Committee | ISEC IPSJ-CSEC SITE ICSS EMM IPSJ-SPT |
| Conference Date | 2011-07-12 - 2011-07-13 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Shizuoka University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | ISEC |
| Conference Code | 2011-07-ISEC-CSEC-SITE-ICSS-EMM-SPT |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Construction of New Classes of Product-Sum Type Public Key Cryptosystem, K(IV)ΣPKC and K(I)ΣΠPKC |
| Sub Title (in English) | |
| Keyword(1) | Public-key Cryptosystem(PKC) |
| Keyword(2) | Product-sum type PKC |
| Keyword(3) | Subset-sum problem |
| Keyword(4) | Grobner base |
| Keyword(5) | LLL algorithm |
| Keyword(6) | PQC |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Masao Kasahara |
| 1st Author's Affiliation | Osaka Gakuin University (Osaka Gakuin Univ) |
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| Speaker | Author-1 |
| Date Time | 2011-07-13 14:55:00 |
| Presentation Time | 25 minutes |
| Registration for | ISEC |
| Paper # | ISEC2011-24, SITE2011-21, ICSS2011-29, EMM2011-23 |
| Volume (vol) | vol.111 |
| Number (no) | no.123(ISEC), no.124(SITE), no.125(ICSS), no.126(EMM) |
| Page | pp.137-144 |
| #Pages | 8 |
| Date of Issue | 2011-07-05 (ISEC, SITE, ICSS, EMM) |
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