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Paper Abstract and Keywords
Presentation 2026-06-12 13:20
Permutation XOR Cellular Automata and Long Periodic Orbits: Analysis
Naoto Okuyama, Hiroki Takahashi, Yusuke Suzuki, Toshimichi Saito (HU) NLP2026-21 CCS2026-21
Abstract (in Japanese) (See Japanese page) 
(in English) Applying simple permutation connection to an elementary cellular automaton with XOR rule, the permutation XOR cellular automaton (PXCA) is constructed. The dynamics is described by an autonomous difference equation of binary state variables.Depending on the permutation connection, the PXCA can generate a variety of periodic orbits. This paper considers long binary periodic orbits (LBPOs) characterized by long period and strong stability. Performing precise numerical analysis, we clarify typical permutation connections that cause the LBPOs.Presenting an FPGA based hardware prototype, typical LBPOs are confirmed experimantray. The hardware is fundamantal step to realize various applications.
Keyword (in Japanese) (See Japanese page) 
(in English) Elementary cellular automata / permutation / periodic orbits / FPGA / XOR / shift / /  
Reference Info. IEICE Tech. Rep., vol. 126, no. 68, NLP2026-21, pp. 111-114, June 2026.
Paper # NLP2026-21 
Date of Issue 2026-06-04 (NLP, CCS) 
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 NLP2026-21 CCS2026-21

Conference Information
Committee CCS NLP  
Conference Date 2026-06-11 - 2026-06-12 
Place (in Japanese) (See Japanese page) 
Place (in English) I-site Namba 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, Complex Communication Sciences, etc. 
Paper Information
Registration To NLP 
Conference Code 2026-06-CCS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Permutation XOR Cellular Automata and Long Periodic Orbits: Analysis 
Sub Title (in English)  
Keyword(1) Elementary cellular automata  
Keyword(2) permutation  
Keyword(3) periodic orbits  
Keyword(4) FPGA  
Keyword(5) XOR  
Keyword(6) shift  
Keyword(7)  
Keyword(8)  
1st Author's Name Naoto Okuyama  
1st Author's Affiliation HOSEI University (HU)
2nd Author's Name Hiroki Takahashi  
2nd Author's Affiliation HOSEI University (HU)
3rd Author's Name Yusuke Suzuki  
3rd Author's Affiliation HOSEI University (HU)
4th Author's Name Toshimichi Saito  
4th Author's Affiliation HOSEI University (HU)
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Speaker Author-1 
Date Time 2026-06-12 13:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2026-21, CCS2026-21 
Volume (vol) vol.126 
Number (no) no.68(NLP), no.69(CCS) 
Page pp.111-114 
#Pages 4 
Date of Issue 2026-06-04 (NLP, CCS) 

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