Paper Abstract and Keywords |
Presentation |
2010-09-22 13:30
Encoding of Linear Codes Based on the Rearrangement of Block-Triangularized Parity-Check Matrices Tomoharu Shibuya (Sophia Univ.) IT2010-45 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Efficient algorithms to solve a system of linear equations have been extensively and deeply investigated in a large number of researches. Among them, the block-triangularization is one of the well-know approaches effective for linear systems defined by matrices with particular characteristics, especially by sparse matrices.
In this paper, we propose an encoding algorithm that can be applied to arbitrary linear codes over any finite field and executed with complexity $O(w(H))$ where $w(H)$ denotes the number of non-zero elements of the parity check matrix $H$ under consideration. By giving our attention to the fact that encoding of a linear code is equivalent to solving a system of linear equations, we propose an encoding algorithm based on the block-triangularization of the part of parity check matrices combining rearrangement of subblocks of them. As the result, any linear codes defined by sparse parity check matrices, such as LDPC codes, can be encoded by the proposed algorithm with complexity $O(n)$ where $n$ denotes the code length. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
encoding of linear codes / low-density parity-check codes / solution of a system of linear equations / block-triangular matrices / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 110, no. 205, IT2010-45, pp. 69-74, Sept. 2010. |
Paper # |
IT2010-45 |
Date of Issue |
2010-09-14 (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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IT2010-45 |
Conference Information |
Committee |
IT |
Conference Date |
2010-09-21 - 2010-09-22 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tohoku Gakuin University |
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(See Japanese page) |
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Paper Information |
Registration To |
IT |
Conference Code |
2010-09-IT |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Encoding of Linear Codes Based on the Rearrangement of Block-Triangularized Parity-Check Matrices |
Sub Title (in English) |
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encoding of linear codes |
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low-density parity-check codes |
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solution of a system of linear equations |
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block-triangular matrices |
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1st Author's Name |
Tomoharu Shibuya |
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Sophia University (Sophia Univ.) |
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Speaker |
Author-1 |
Date Time |
2010-09-22 13:30:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2010-45 |
Volume (vol) |
vol.110 |
Number (no) |
no.205 |
Page |
pp.69-74 |
#Pages |
6 |
Date of Issue |
2010-09-14 (IT) |
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