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Paper Abstract and Keywords
Presentation 2026-05-22 13:00
Delection codes derived from pointers
Mahiro Yamaguchi, Manabu Hagiwara (Chiba Univ.), Van Khu Vu (VinUniv.), Jihyeok Kim, Whan-Hyuk Choi (Kangwon Univ.) IT2026-17 EMM2026-17
Abstract (in Japanese) (See Japanese page) 
(in English) This paper investigates multiple-deletion error-correcting codes over non-binary alphabets. Recently, a mapping technique known as pointer mapping was proposed, which transforms errors based on the Levenshtein distance in multiplicity free sequences into errors based on the Hamming distance. This mapping enables the construction of deletion-correcting codes by applying codes defined in the Hamming metric space.
In this study, we propose a new class of deletion-correcting codes, termed pointer codes, by leveraging this mapping. The proposed method achieves a redundancy upper bound of $(8t log_p n) +1$, which closely approaches the theoretical lower bound for redundancy by Levenshtein. Furthermore, we describe a decoding algorithm that reduces the deletion error correction process to well-established methods such as Euclidean decoding and Peterson algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) non-binary deletion error-correcting codes / pointer / pointer codes / Reed-Solomon codes / Levenshtein distance / multiplicity free sequence / Euclidean algorithm / Peterson algorithm  
Reference Info. IEICE Tech. Rep., vol. 126, no. 29, IT2026-17, pp. 90-94, May 2026.
Paper # IT2026-17 
Date of Issue 2026-05-14 (IT, EMM) 
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)
Download PDF IT2026-17 EMM2026-17

Conference Information
Committee IT EMM  
Conference Date 2026-05-21 - 2026-05-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyoto Terrsa 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information Security, Information Theory, Information Hiding, etc., Freshman session 
Paper Information
Registration To IT 
Conference Code 2026-05-IT-EMM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Delection codes derived from pointers 
Sub Title (in English)  
Keyword(1) non-binary deletion error-correcting codes  
Keyword(2) pointer  
Keyword(3) pointer codes  
Keyword(4) Reed-Solomon codes  
Keyword(5) Levenshtein distance  
Keyword(6) multiplicity free sequence  
Keyword(7) Euclidean algorithm  
Keyword(8) Peterson algorithm  
1st Author's Name Mahiro Yamaguchi  
1st Author's Affiliation Chiba University (Chiba Univ.)
2nd Author's Name Manabu Hagiwara  
2nd Author's Affiliation Chiba University (Chiba Univ.)
3rd Author's Name Van Khu Vu  
3rd Author's Affiliation VinUniversity (VinUniv.)
4th Author's Name Jihyeok Kim  
4th Author's Affiliation Kangwon National University (Kangwon Univ.)
5th Author's Name Whan-Hyuk Choi  
5th Author's Affiliation Kangwon National University (Kangwon Univ.)
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Speaker Author-1 
Date Time 2026-05-22 13:00:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2026-17, EMM2026-17 
Volume (vol) vol.126 
Number (no) no.29(IT), no.30(EMM) 
Page pp.90-94 
#Pages 5 
Date of Issue 2026-05-14 (IT, EMM) 

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