Paper Abstract and Keywords |
Presentation |
2011-07-13 14:30
Public Key Cryptosystems Constructed Based on Cyclic Codes, Realizing Coding Rate of Exactly 1.0, K(XI)SE(g)PKC and K(XII)SE(g)PKC Masao Kasahara (Osaka Gakuin Univ.) ISEC2011-23 SITE2011-20 ICSS2011-28 EMM2011-22 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we first present a new class of public-key cryptosystems, K(\ix)SE(1)PKC based on error-correcting codes over $\mathbb{F}_2$. The K(IX)SE(1)PKC is constructed by modifying the K(VIII)SE(1)PKC formerly proposed by the author. We second present K(XI)SE(g)PKC by generalizing K(IX)SE(1)PKC. We show that K(IX)SE(1)PKC and K(XI)SE(g)PKC, modified versions of K(IX)SE(1)PKC, realizes the coding rate of exactly 1.0. We finally present a new class of multivariate PKC, K(XII)SE(g)PKC. We discuss on the simplest version, K(XII)$_{sim.}$, in detail. We show that K(XII)$_{sim.}$ is secure against the attacks based on a linear transformation and the Gr\"obner basis calculaion (GB attack). We also show that K(XII)SE(g)PKC realizes the coding rate of exactly 1.0. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Public Key Cryptosystem / Error-Correcting Code / Code-based PKC / Multivariate PKC / Grobner basis / / / |
Reference Info. |
IEICE Tech. Rep., vol. 111, no. 123, ISEC2011-23, pp. 131-136, July 2011. |
Paper # |
ISEC2011-23 |
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) |
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ISEC2011-23 SITE2011-20 ICSS2011-28 EMM2011-22 |
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 |
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(See Japanese page) |
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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) |
Public Key Cryptosystems Constructed Based on Cyclic Codes, Realizing Coding Rate of Exactly 1.0, K(XI)SE(g)PKC and K(XII)SE(g)PKC |
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Public Key Cryptosystem |
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Error-Correcting Code |
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Code-based PKC |
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Multivariate PKC |
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Grobner basis |
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1st Author's Name |
Masao Kasahara |
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Osaka Gakuin University (Osaka Gakuin Univ.) |
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Speaker |
Author-1 |
Date Time |
2011-07-13 14:30:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2011-23, SITE2011-20, ICSS2011-28, EMM2011-22 |
Volume (vol) |
vol.111 |
Number (no) |
no.123(ISEC), no.124(SITE), no.125(ICSS), no.126(EMM) |
Page |
pp.131-136 |
#Pages |
6 |
Date of Issue |
2011-07-05 (ISEC, SITE, ICSS, EMM) |
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