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| Presentation | 2017-09-08 09:50 On the weight distributions of the binary codes obtained from Reed-Solomon codes over GF(2^m) Tshihisa Nishijima (Hosei Univ.)  IT2017-40 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this report, we give a necessary and sufficient condition for symmetry of the weight distribution of the binary linear code obtained from the Reed-Solomon code over GF(2^m). Then, using this condition, we identify the family of Reed-Solomon codes that the weight distribution of the expanded binary linear code becomes symmetric. Furthermore, by analogy with the result obtained, we consider how symmetric structures in the binary weight distribution are represented by complete weight enumerator and try to define the symmetric structure of complete weight enumerator. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Reed-Solomon code / binary weight distribution / complete weight enumerator / maximum distance separable code / Hamming weight distribution / symmetry / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 208, IT2017-40, pp. 11-14, Sept. 2017. | |
| Paper # | IT2017-40 | |
| Date of Issue | 2017-09-01 (IT) | |
| 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) | |
| Download PDF | IT2017-40 |
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| Conference Information | |
| Committee | IT |
| Conference Date | 2017-09-08 - 2017-09-08 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Centcore Yamaguchi Hotel |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | error correcting codes, general |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2017-09-IT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the weight distributions of the binary codes obtained from Reed-Solomon codes over GF(2^m) |
| Sub Title (in English) | |
| Keyword(1) | Reed-Solomon code |
| Keyword(2) | binary weight distribution |
| Keyword(3) | complete weight enumerator |
| Keyword(4) | maximum distance separable code |
| Keyword(5) | Hamming weight distribution |
| Keyword(6) | symmetry |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tshihisa Nishijima |
| 1st Author's Affiliation | Hosei University (Hosei Univ.) |
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| Speaker | Author-1 |
| Date Time | 2017-09-08 09:50:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2017-40 |
| Volume (vol) | vol.117 |
| Number (no) | no.208 |
| Page | pp.11-14 |
| #Pages | 4 |
| Date of Issue | 2017-09-01 (IT) |
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