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 |
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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IT2015-120 ISEC2015-79 WBS2015-103 |
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) |
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block codes |
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algebraic construction |
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tail-biting trellis |
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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 |
6 |
Date of Issue |
2016-03-03 (IT, ISEC, WBS) |
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