Paper Abstract and Keywords |
Presentation |
2015-09-04 09:25
On the Decoding Problem of Algebraic Codes over Symbol-Pair Read Channels Makoto Takita (Kobe Univ.), Masanori Hirotomo (Saga Univ.), Masakatu Morii (Kobe Univ.) IT2015-35 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we discuss a decoding problem of algebraic codes over symbol-pair read channels.
The channels output overlapping pairs of symbols in storage applications.
Pair distance and pair error are used in the channels.
In this paper, we focus on decoding of BCH codes over the symbol-pair read channels, and propose how to correct two pair errors by algebraic method.
First, we define a polynomial that represents positions of pair error as error-location polynomial and a polynomial that represents positions of pairs of received pair vector in conflict as conflict-location polynomial.
Then, we show a relationship between these polynomials and syndromes.
Finally, we provide how to correct pair errors by solving simultaneous equations including the relational expression by algebraic method. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
symbol-pair read channel / pair error correcting / BCH code / syndrome / error locator polynomial / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 214, IT2015-35, pp. 7-12, Sept. 2015. |
Paper # |
IT2015-35 |
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) |
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IT2015-35 |
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) |
On the Decoding Problem of Algebraic Codes over Symbol-Pair Read Channels |
Sub Title (in English) |
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Keyword(1) |
symbol-pair read channel |
Keyword(2) |
pair error correcting |
Keyword(3) |
BCH code |
Keyword(4) |
syndrome |
Keyword(5) |
error locator polynomial |
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1st Author's Name |
Makoto Takita |
1st Author's Affiliation |
Kobe University (Kobe Univ.) |
2nd Author's Name |
Masanori Hirotomo |
2nd Author's Affiliation |
Saga University (Saga Univ.) |
3rd Author's Name |
Masakatu Morii |
3rd Author's Affiliation |
Kobe University (Kobe Univ.) |
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Speaker |
Author-1 |
Date Time |
2015-09-04 09:25:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2015-35 |
Volume (vol) |
vol.115 |
Number (no) |
no.214 |
Page |
pp.7-12 |
#Pages |
6 |
Date of Issue |
2015-08-28 (IT) |
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