IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

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)
Download PDF 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 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
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)  
Keyword(1) encoding of linear codes  
Keyword(2) low-density parity-check codes  
Keyword(3) solution of a system of linear equations  
Keyword(4) block-triangular matrices  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Tomoharu Shibuya  
1st Author's Affiliation Sophia University (Sophia Univ.)
2nd Author's Name  
2nd Author's Affiliation ()
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
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
Date of Issue 2010-09-14 (IT) 


[Return to Top Page]

[Return to IEICE Web Page]


The Institute of Electronics, Information and Communication Engineers (IEICE), Japan