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| Presentation | 2007-07-20 11:00 Normal Basis Efficient for Trace Calculation in Odd Characteristic Extension Field of Even Degree Kenta Nekado, Hiroaki Nasu, Ryo Nanba, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.)  IT2007-18 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Some public-key cryptographies require an extension field as the definition field. When we implement arithmetic operations in the extension field, we need to prepare an efficient basis. In this paper, we deal with normal bases efficient for trace calculations. First, we go over that there are no self-dual normal bases in odd characteristic extension fields of even degree. Then, we introduce a normal basis in odd characteristic extension field of degree 2 as efficient as self-dual normal basis. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | trace / self-dual normal basis / extension field of even degree / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 143, IT2007-18, pp. 19-22, July 2007. | |
| Paper # | IT2007-18 | |
| Date of Issue | 2007-07-13 (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 | IT2007-18 |
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| Conference Information | |
| Committee | IT |
| Conference Date | 2007-07-19 - 2007-07-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kobe Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Freshman ssesion, general |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2007-07-IT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Normal Basis Efficient for Trace Calculation in Odd Characteristic Extension Field of Even Degree |
| Sub Title (in English) | |
| Keyword(1) | trace |
| Keyword(2) | self-dual normal basis |
| Keyword(3) | extension field of even degree |
| Keyword(4) | |
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| 1st Author's Name | Kenta Nekado |
| 1st Author's Affiliation | Okayama University (Okayama Univ.) |
| 2nd Author's Name | Hiroaki Nasu |
| 2nd Author's Affiliation | Okayama University (Okayama Univ.) |
| 3rd Author's Name | Ryo Nanba |
| 3rd Author's Affiliation | Okayama University (Okayama Univ.) |
| 4th Author's Name | Yasuyuki Nogami |
| 4th Author's Affiliation | Okayama University (Okayama Univ.) |
| 5th Author's Name | Yoshitaka Morikawa |
| 5th Author's Affiliation | Okayama University (Okayama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2007-07-20 11:00:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2007-18 |
| Volume (vol) | vol.107 |
| Number (no) | no.143 |
| Page | pp.19-22 |
| #Pages | 4 |
| Date of Issue | 2007-07-13 (IT) |
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