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Paper Abstract and Keywords
Presentation 2016-03-10 16:20
Algebraic Construction of KV Trellises for Linear Block Codes
Masato Tajima IT2015-120 ISEC2015-79 WBS2015-103
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we present an algebraic construction of Koetter-Vardy (KV) trellises. The proposed method is based on the state space expression, i.e., the state space is the image of the set of information sequences under the associated state matrix. Then combining with the homomorphism theorem, an algebraic trellis construction is obtained. We show that a tail-biting trellis constructed using the proposed method is isomorphic to the associated KV trellis (i.e., the product trellis). On the other hand, a matrix consisting of linearly independent rows of the characteristic matrix is regarded as a generalization of minimal-span generator matrices. Then we show that a KV trellis is constructed based on an extended minimal-span generator matrix. It is shown that this construction is a natural extension of the method proposed by McEliece (1996).
Keyword (in Japanese) (See Japanese page) 
(in English) block codes / algebraic construction / tail-biting trellis / KV trellis / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 500, IT2015-120, pp. 119-124, March 2016.
Paper # IT2015-120 
Date of Issue 2016-03-03 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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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Conference Information
Committee IT ISEC WBS  
Conference Date 2016-03-10 - 2016-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2016-03-IT-ISEC-WBS 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Algebraic Construction of KV Trellises for Linear Block Codes 
Sub Title (in English)  
Keyword(1) block codes  
Keyword(2) algebraic construction  
Keyword(3) tail-biting trellis  
Keyword(4) KV trellis  
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1st Author's Name Masato Tajima  
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Speaker Author-1 
Date Time 2016-03-10 16:20:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2015-120, ISEC2015-79, WBS2015-103 
Volume (vol) vol.115 
Number (no) no.500(IT), no.501(ISEC), no.502(WBS) 
Page pp.119-124 
#Pages
Date of Issue 2016-03-03 (IT, ISEC, WBS) 


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