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| Presentation | 2021-04-12 14:15 A division algorithm with constant divisor in the residue number system Shinichi Kawamura (AIST/Toshiba), Yuichi Komano (Toshiba)  HWS2021-7 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A lot of works has been done on the research of RNS (Residue Number System), which is one of the integer representations, and the main application of which is implementation of public-key cryptography. In RNS, addition, subtraction, and multiplication can be carried out as addition, subtraction, and multiplication modulo a given basis respectively, whereas division and comparison (or sign-detection) are hard to implement with simple procedure. It was after the invention of Montgomery reduction in RNS that cryptography became one of the main applications of RNS. In addition, it was quite recent that a promising method for sign-detection was proposed. It is still a very hard problem to provide an efficient algorithm for general purpose division in RNS. Therefore, we focus on a specific case where divisor is constant. Our proposal uses RNS Montgomery reduction and RNS sign-detection as main components. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Residue arithmetic / Residue number system / division / sign detection / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 121, no. 1, HWS2021-7, pp. 27-32, April 2021. | |
| Paper # | HWS2021-7 | |
| Date of Issue | 2021-04-05 (HWS) | |
| 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 | HWS2021-7 |
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| Conference Information | |
| Committee | HWS |
| Conference Date | 2021-04-12 - 2021-04-12 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tokyo University/Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Hardware Security |
| Paper Information | |
| Registration To | HWS |
| Conference Code | 2021-04-HWS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A division algorithm with constant divisor in the residue number system |
| Sub Title (in English) | |
| Keyword(1) | Residue arithmetic |
| Keyword(2) | Residue number system |
| Keyword(3) | division |
| Keyword(4) | sign detection |
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| 1st Author's Name | Shinichi Kawamura |
| 1st Author's Affiliation | AIST/Toshiba (AIST/Toshiba) |
| 2nd Author's Name | Yuichi Komano |
| 2nd Author's Affiliation | Toshiba (Toshiba) |
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| Speaker | Author-1 |
| Date Time | 2021-04-12 14:15:00 |
| Presentation Time | 25 minutes |
| Registration for | HWS |
| Paper # | HWS2021-7 |
| Volume (vol) | vol.121 |
| Number (no) | no.1 |
| Page | pp.27-32 |
| #Pages | 6 |
| Date of Issue | 2021-04-05 (HWS) |
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