| Paper Abstract and Keywords |
| Presentation |
2015-09-04 09:00
Linear Programming Decoding of Binary Linear Codes over Symbol-Pair Read Channels Shunsuke Horii, Toshiyasu Matsushima, Shigeichi Hirasawa (Waseda Univ.) IT2015-34 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In this paper, we develop a new decoding algorithm of a binary linear codes for symbol-pair read channels.
Symbol-pair read channel has recently been introduced by Cassuto and Blaum to model channels with high write resolution but low read resolution.
The proposed decoding algorithm is based on a linear programming (LP).
It is proved that the proposed LP decoder has the maximum-likelihood (ML) certificate property, i.e., the output of the decoder is guaranteed to be the ML codeword when it is integral.
We also introduce the textit{fractional pair distance} $d_{fp}$ of a code which is a lower bound on the pair distance.
It is proved that the proposed LP decoder will correct up to $lceil d_{fp}/2rceil-1$ pair errors. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
error correcting codes / symbol pair read channel / linear programming decoding / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 115, no. 214, IT2015-34, pp. 1-6, Sept. 2015. |
| Paper # |
IT2015-34 |
| Date of Issue |
2015-08-28 (IT) |
| 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 |
IT2015-34 |
| Conference Information |
| Committee |
IT |
| Conference Date |
2015-09-04 - 2015-09-04 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Hakusan Shobutei |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
error correcting codes, general |
| Paper Information |
| Registration To |
IT |
| Conference Code |
2015-09-IT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Linear Programming Decoding of Binary Linear Codes over Symbol-Pair Read Channels |
| Sub Title (in English) |
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| Keyword(1) |
error correcting codes |
| Keyword(2) |
symbol pair read channel |
| Keyword(3) |
linear programming decoding |
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| 1st Author's Name |
Shunsuke Horii |
| 1st Author's Affiliation |
Waseda University (Waseda Univ.) |
| 2nd Author's Name |
Toshiyasu Matsushima |
| 2nd Author's Affiliation |
Waseda University (Waseda Univ.) |
| 3rd Author's Name |
Shigeichi Hirasawa |
| 3rd Author's Affiliation |
Waseda University (Waseda Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2015-09-04 09:00:00 |
| Presentation Time |
25 minutes |
| Registration for |
IT |
| Paper # |
IT2015-34 |
| Volume (vol) |
vol.115 |
| Number (no) |
no.214 |
| Page |
pp.1-6 |
| #Pages |
6 |
| Date of Issue |
2015-08-28 (IT) |