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Paper Abstract and Keywords
Presentation 2016-01-18 13:40
Representation of the extension field using the even irreducible polynomial
Shigeki Kobayashi (Nagano nct), Hiroyuki Ebato, Tatsuo Sugimura (Shinshu Univ.) IT2015-64 SIP2015-78 RCS2015-296
Abstract (in Japanese) (See Japanese page) 
(in English) This report discribes an representation of the extension field $mathrm{GF}(q^{2m})$ using the even irreducible polynomial. This representation has a merit that an element of subfield $mathrm{GF}(q^m)$ is represented clearly. And It is possible multiplication of extension field using the multiplication of subfield.
Keyword (in Japanese) (See Japanese page) 
(in English) finite field / extension field / even irreducible polynomial / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 394, IT2015-64, pp. 97-100, Jan. 2016.
Paper # IT2015-64 
Date of Issue 2016-01-11 (IT, SIP, RCS) 
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 IT2015-64 SIP2015-78 RCS2015-296

Conference Information
Committee RCS IT SIP  
Conference Date 2016-01-18 - 2016-01-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Kwansei Gakuin Univ. Osaka Umeda Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing for Wireless Communications, Learning, Mathematical Science, Communication Theory, etc. 
Paper Information
Registration To IT 
Conference Code 2016-01-RCS-IT-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Representation of the extension field using the even irreducible polynomial 
Sub Title (in English)  
Keyword(1) finite field  
Keyword(2) extension field  
Keyword(3) even irreducible polynomial  
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1st Author's Name Shigeki Kobayashi  
1st Author's Affiliation Nagano College of Technology (Nagano nct)
2nd Author's Name Hiroyuki Ebato  
2nd Author's Affiliation Shinsyu Univercity (Shinshu Univ.)
3rd Author's Name Tatsuo Sugimura  
3rd Author's Affiliation Shinsyu Univercity (Shinshu Univ.)
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Speaker Author-1 
Date Time 2016-01-18 13:40:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2015-64, SIP2015-78, RCS2015-296 
Volume (vol) vol.115 
Number (no) no.394(IT), no.395(SIP), no.396(RCS) 
Page pp.97-100 
#Pages 4 
Date of Issue 2016-01-11 (IT, SIP, RCS) 

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