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Paper Abstract and Keywords
Presentation 2015-03-02 16:00
A Relation between Autocorrelations of Sequences Generated by the Logistic Map over Prime Fields and Loops whose Periods are Almost Same as Precisions
Takeru Miyazaki (The Univ. of Kitakyushu), Shunsuke Araki (Kyushu Inst. of Tech.), Satoshi Uehara (The Univ. of Kitakyushu), Yasuyuki Nogami (Okayama Univ.) IT2014-77 ISEC2014-90 WBS2014-69
Abstract (in Japanese) (See Japanese page) 
(in English) Logistic map over prime fields is one of maps to calculate iteratively by using computers. Though a sequence generated by this map has good randomness passing statistical random tests, we have not analyzed enough properties of the map and its generated sequences yet. n this present paper, we investigate loops of sequences whose periods are almost the same as their precisions by using values of autocorrelations, and classify types of these loops. Moreover, we also confirm experimentally that loops given by the map with Mersenne primes have the same type.
Keyword (in Japanese) (See Japanese page) 
(in English) logistic map over prime field / period / loop / Mersenne primes / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 471, ISEC2014-90, pp. 97-102, March 2015.
Paper # ISEC2014-90 
Date of Issue 2015-02-23 (IT, ISEC, WBS) 
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 IT2014-77 ISEC2014-90 WBS2014-69

Conference Information
Committee ISEC IT WBS  
Conference Date 2015-03-02 - 2015-03-03 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Kitakyushu 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To ISEC 
Conference Code 2015-03-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Relation between Autocorrelations of Sequences Generated by the Logistic Map over Prime Fields and Loops whose Periods are Almost Same as Precisions 
Sub Title (in English)  
Keyword(1) logistic map over prime field  
Keyword(2) period  
Keyword(3) loop  
Keyword(4) Mersenne primes  
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1st Author's Name Takeru Miyazaki  
1st Author's Affiliation The University of Kitakyushu (The Univ. of Kitakyushu)
2nd Author's Name Shunsuke Araki  
2nd Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. of Tech.)
3rd Author's Name Satoshi Uehara  
3rd Author's Affiliation The University of Kitakyushu (The Univ. of Kitakyushu)
4th Author's Name Yasuyuki Nogami  
4th Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2015-03-02 16:00:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2014-77, ISEC2014-90, WBS2014-69 
Volume (vol) vol.114 
Number (no) no.470(IT), no.471(ISEC), no.472(WBS) 
Page pp.97-102 
#Pages 6 
Date of Issue 2015-02-23 (IT, ISEC, WBS) 

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