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| Presentation | 2021-01-22 10:40 Optimal Non-binary Single Insertion Deletion Correcting Code Construction by Maximum Clique Enumeration Akira Mitsutake, Takayuki Nozaki (Yamaguchi Univ.), Etsuji Tomita (UEC)  IT2020-89 SIP2020-67 RCS2020-180 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The purpose of this research is to construct non-binary single deletion correcting codes with large cardinalities. It is known that a code is a single deletion correcting code if the minimum Levenshtein distance of the code is 4. Hence, we obtain a single deletion correcting code with code length n by the following procedure; (i) We construct a graph in which each vertex corresponds to the sequence of length n and two vertices are adjacent if and only if Levenshtein distance between the corresponding sequences is greater than or equal to 4. (ii) We extract a clique from the graph. In this report, for short code length, we obtain all the non-binary single deletion correcting codes with the largest cardinalities by enumerating maximum cliques. Moreover, we present an efficient algorithm constructing single deletion correcting codes with large cardinalities. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Single deletion correcting code / Optimal code / Levenshtein distance / Maximum clique enumeration / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 320, IT2020-89, pp. 142-147, Jan. 2021. | |
| Paper # | IT2020-89 | |
| Date of Issue | 2021-01-14 (IT, SIP, RCS) | |
| 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 | IT2020-89 SIP2020-67 RCS2020-180 |
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| Conference Information | |
| Committee | SIP IT RCS |
| Conference Date | 2021-01-21 - 2021-01-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2021-01-SIP-IT-RCS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Optimal Non-binary Single Insertion Deletion Correcting Code Construction by Maximum Clique Enumeration |
| Sub Title (in English) | |
| Keyword(1) | Single deletion correcting code |
| Keyword(2) | Optimal code |
| Keyword(3) | Levenshtein distance |
| Keyword(4) | Maximum clique enumeration |
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| 1st Author's Name | Akira Mitsutake |
| 1st Author's Affiliation | Yamaguchi University (Yamaguchi Univ.) |
| 2nd Author's Name | Takayuki Nozaki |
| 2nd Author's Affiliation | Yamaguchi University (Yamaguchi Univ.) |
| 3rd Author's Name | Etsuji Tomita |
| 3rd Author's Affiliation | The University of Electro Communications (UEC) |
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| Speaker | Author-1 |
| Date Time | 2021-01-22 10:40:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2020-89, SIP2020-67, RCS2020-180 |
| Volume (vol) | vol.120 |
| Number (no) | no.320(IT), no.321(SIP), no.322(RCS) |
| Page | pp.142-147 |
| #Pages | 6 |
| Date of Issue | 2021-01-14 (IT, SIP, RCS) |
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