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| Presentation | 2010-03-04 11:15 On the Size of Circulant Matrices for which Reversible Codes Exist Tomoharu Shibuya, Keita Nakade (Sophia Univ.)  IT2009-94 ISEC2009-102 WBS2009-73 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Recently, Haley and Grant introduced the concept of reversible codes - a class of linear codes encodable by the iterative message-passing algorithm based on the Jacobi method over GF(2). They also developed a concrete procedure to construct parity check matrices of reversible codes by utilizing some properties of circulant matrices which is described in terms of polynomials over GF(2). In this paper, we investigate the size of circulant matrices considered in the Haley's procedure and clarify the necessary and sufficient condition on the size for which reversible codes based on circulant matrices exist. This condition tells us that no reversible codes based on circulant matrices exist other than those constructed by the Haley's procedure. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | encoding of linear codes / Jacobi method / reversible codes / circulant matrices / message-passing algorithm / LDPC codes / / | |
| Reference Info. | IEICE Tech. Rep., vol. 109, no. 444, IT2009-94, pp. 147-151, March 2010. | |
| Paper # | IT2009-94 | |
| Date of Issue | 2010-02-25 (IT, ISEC, WBS) | |
| 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 | IT2009-94 ISEC2009-102 WBS2009-73 |
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| Conference Information | |
| Committee | IT ISEC WBS |
| Conference Date | 2010-03-04 - 2010-03-05 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Nagano-Engineering Campus, Shinshu University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2010-03-IT-ISEC-WBS |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the Size of Circulant Matrices for which Reversible Codes Exist |
| Sub Title (in English) | |
| Keyword(1) | encoding of linear codes |
| Keyword(2) | Jacobi method |
| Keyword(3) | reversible codes |
| Keyword(4) | circulant matrices |
| Keyword(5) | message-passing algorithm |
| Keyword(6) | LDPC codes |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tomoharu Shibuya |
| 1st Author's Affiliation | Sophia University (Sophia Univ.) |
| 2nd Author's Name | Keita Nakade |
| 2nd Author's Affiliation | Sophia University (Sophia Univ.) |
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| Speaker | Author-1 |
| Date Time | 2010-03-04 11:15:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2009-94, ISEC2009-102, WBS2009-73 |
| Volume (vol) | vol.109 |
| Number (no) | no.444(IT), no.445(ISEC), no.446(WBS) |
| Page | pp.147-151 |
| #Pages | 5 |
| Date of Issue | 2010-02-25 (IT, ISEC, WBS) |
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