Paper Abstract and Keywords |
Presentation |
2007-07-20 11:25
Constructing Self-Dual Normal Bases in Odd-Degree Extension Field Yumi Sakemi, Hiroaki Nasu, Ryo Nanba, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.) IT2007-19 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
A self-dual normal basis only exists in odd-degree extension field when characteristic $p$ is an odd prime.
However, a method to construct it systematically has not been given.
In this paper, we show a method for constructing a self-dual normal basis in an arbitrary extension field $\F{p}{m}$ such that $4p$ does not divide $m(p-1)$ and $m$ is odd by using a special class of Gauss period normal bases. Then, it is also shown that the vector representations with the self-dual and Gauss period normal bases are easily translated to each other. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
extension field / self dual normal / Gauss period normal basis / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 107, no. 143, IT2007-19, pp. 23-27, July 2007. |
Paper # |
IT2007-19 |
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 |
IT2007-19 |
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) |
Constructing Self-Dual Normal Bases in Odd-Degree Extension Field |
Sub Title (in English) |
|
Keyword(1) |
extension field |
Keyword(2) |
self dual normal |
Keyword(3) |
Gauss period normal basis |
Keyword(4) |
|
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Yumi Sakemi |
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.) |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2007-07-20 11:25:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2007-19 |
Volume (vol) |
vol.107 |
Number (no) |
no.143 |
Page |
pp.23-27 |
#Pages |
5 |
Date of Issue |
2007-07-13 (IT) |
|