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Paper Abstract and Keywords
Presentation 2020-12-03 10:30
Hamming Distance Enumerators for Number Theoretic Codes
Takayuki Nozaki (Yamaguchi Univ) IT2020-48
Abstract (in Japanese) (See Japanese page) 
(in English) The number theoretic codes are defined by single or multiple congruences and are used for correcting insertion and deletion errors.
Since the number theoretic codes are generally non-linear, the analysis method for such codes is not enough established.
Hamming distance enumerator of a code is a unary polynomial whose $i$th coefficient gives the fraction of the pair of codewords with Hamming distance $i$.
Hamming distance enumerator gives the maximum likelihood decoding error probability of the code through symbol substitution channel.
This report presents the Hamming distance enumerators for the number theoretic codes.
Moreover, as an example, we derive the Hamming distance enumerator for the Varshamov-Tenengolts (VT) codes.
Keyword (in Japanese) (See Japanese page) 
(in English) Number theoretic code / Hamming distance enumerator / non-linear code / VT code / / / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 268, IT2020-48, pp. 134-139, Dec. 2020.
Paper # IT2020-48 
Date of Issue 2020-11-24 (IT) 
ISSN 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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Conference Information
Committee IT  
Conference Date 2020-12-01 - 2020-12-03 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Lectures for Young Researchers, General 
Paper Information
Registration To IT 
Conference Code 2020-12-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Hamming Distance Enumerators for Number Theoretic Codes 
Sub Title (in English)  
Keyword(1) Number theoretic code  
Keyword(2) Hamming distance enumerator  
Keyword(3) non-linear code  
Keyword(4) VT code  
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1st Author's Name Takayuki Nozaki  
1st Author's Affiliation Yamaguchi University (Yamaguchi Univ)
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Speaker Author-1 
Date Time 2020-12-03 10:30:00 
Presentation Time 20 minutes 
Registration for IT 
Paper # IT2020-48 
Volume (vol) vol.120 
Number (no) no.268 
Page pp.134-139 
#Pages 6 
Date of Issue 2020-11-24 (IT) 

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