Paper Abstract and Keywords |
Presentation |
2012-05-18 14:15
An Approach for Constructing Primitive Polynomials of Degree 2^i over Odd Characteristic Prime Field Yasuyuki Nogami, Yusuke Takai (Okayama Univ.), Shigeki Kobayashi (Nagano National College of Technology), Tatsuo Sugimura (Shinsyu Univ.), Satoshi Uehara (Kitakyushu City Univ.) ISEC2012-4 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
This paper considers an approach to obtain primitive polynomials over odd characteristic field $\mathbb{F}_{p}$ for which a variable transformation $x\mapsto x+\alpha x^{-1}$ called ``self $\alpha$ reciprocal transform" is used, where $\alpha$ is a certain element in $\mathbb{F}_{{p}^{2^j}}^*$ of $j<i$. Self $\alpha$ reciprocal transforms give irreducible polynomials of degree $2^i$ under a certain condition to which this paper considers their primitivities. If they are not primitive polynomials over $\mathbb{F}_{p}$, this paper also touches an efficient approach for translating them to primitive polynomials. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
primitive polynomial / random sequence / odd characteristic / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 112, no. 39, ISEC2012-4, pp. 19-24, May 2012. |
Paper # |
ISEC2012-4 |
Date of Issue |
2012-05-11 (ISEC) |
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) |
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ISEC2012-4 |
Conference Information |
Committee |
ISEC |
Conference Date |
2012-05-18 - 2012-05-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2012-05-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
An Approach for Constructing Primitive Polynomials of Degree 2^i over Odd Characteristic Prime Field |
Sub Title (in English) |
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Keyword(1) |
primitive polynomial |
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random sequence |
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odd characteristic |
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1st Author's Name |
Yasuyuki Nogami |
1st Author's Affiliation |
Okayama University (Okayama Univ.) |
2nd Author's Name |
Yusuke Takai |
2nd Author's Affiliation |
Okayama University (Okayama Univ.) |
3rd Author's Name |
Shigeki Kobayashi |
3rd Author's Affiliation |
Nagano National College of Technology (Nagano National College of Technology) |
4th Author's Name |
Tatsuo Sugimura |
4th Author's Affiliation |
Shinsyu University (Shinsyu Univ.) |
5th Author's Name |
Satoshi Uehara |
5th Author's Affiliation |
Kitakyushu City University (Kitakyushu City Univ.) |
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Speaker |
Author-1 |
Date Time |
2012-05-18 14:15:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2012-4 |
Volume (vol) |
vol.112 |
Number (no) |
no.39 |
Page |
pp.19-24 |
#Pages |
6 |
Date of Issue |
2012-05-11 (ISEC) |