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Paper Abstract and Keywords
Presentation 2022-08-02 09:50
Characteristics of degree period of commutative polynomials defined by fourth-order recurrence relations with two variables over Z2K
Takuma Nishizaka, Daisaburo Yoshioka (Sojo Univ.) NLP2022-28
Abstract (in Japanese) (See Japanese page) 
(in English) In recent years, a public-key cryptosystem based on Chebyshev polynomials over Z_{2^k} has been presented. Unfortunately, however, the cryptosystem is broken using knowledge of the periodic properties of Chebyshev polynomials. Although commutative polynomials with two variables can be candidates for the cryptosystem instead of Chebyshev polynomials, the periodic properties of the polynomials should be discussed carefully. In this study, we investigated the degree period of commutative polynomials with two variables over residue ring Z_{2^k}
Keyword (in Japanese) (See Japanese page) 
(in English) public key cryptography / period / commutative polynomials / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 143, NLP2022-28, pp. 11-14, Aug. 2022.
Paper # NLP2022-28 
Date of Issue 2022-07-26 (NLP) 
ISSN 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 NLP2022-28

Conference Information
Committee NLP  
Conference Date 2022-08-02 - 2022-08-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2022-08-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Characteristics of degree period of commutative polynomials defined by fourth-order recurrence relations with two variables over Z2K 
Sub Title (in English)  
Keyword(1) public key cryptography  
Keyword(2) period  
Keyword(3) commutative polynomials  
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1st Author's Name Takuma Nishizaka  
1st Author's Affiliation Sojo University (Sojo Univ.)
2nd Author's Name Daisaburo Yoshioka  
2nd Author's Affiliation Sojo University (Sojo Univ.)
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Speaker Author-1 
Date Time 2022-08-02 09:50:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2022-28 
Volume (vol) vol.122 
Number (no) no.143 
Page pp.11-14 
#Pages 4 
Date of Issue 2022-07-26 (NLP) 

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