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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
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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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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)  
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)  
Keyword(1) primitive polynomial  
Keyword(2) random sequence  
Keyword(3) 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
Date of Issue 2012-05-11 (ISEC) 


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