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Paper Abstract and Keywords
Presentation 2025-08-07 14:15
FPGA Based Hrdware Implementation of Permutation XOR Cellular Automaton Exhibiting Various Periodic Orbits
Yosuke Suzuki, Toshimichi Saito (HU) NLP2025-27
Abstract (in Japanese) (See Japanese page) 
(in English) This paper studies permutation XOR cellular automaton: a three layer dynamical system where the input-to-hidden layer corresponds to an elementary cellular automaton of the XOR rule and the hidden-to-output layer is one-to-one permutation
connection. The dynamics is described by an autonomous difference equation of binary state variables. Performing precise numerical analysis, we have found that, depending on the dimension, the PXCA generates various direct stable binary periodic orbits characterized by long period and strong stability. As a fundamental step to engineering applications, we have fabricated a simple FPGA based hardware prototype and have confirmed typical periodic orbits experimentally.
Keyword (in Japanese) (See Japanese page) 
(in English) Elementary Cellular Automata / permutation / XOR / FPGA / / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 150, NLP2025-27, pp. 16-19, Aug. 2025.
Paper # NLP2025-27 
Date of Issue 2025-07-31 (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 NLP2025-27

Conference Information
Committee NLP  
Conference Date 2025-08-07 - 2025-08-07 
Place (in Japanese) (See Japanese page) 
Place (in English) Kaderu27(Sapporo) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear problems, etc 
Paper Information
Registration To NLP 
Conference Code 2025-08-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) FPGA Based Hrdware Implementation of Permutation XOR Cellular Automaton Exhibiting Various Periodic Orbits 
Sub Title (in English)  
Keyword(1) Elementary Cellular Automata  
Keyword(2) permutation  
Keyword(3) XOR  
Keyword(4) FPGA  
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1st Author's Name Yosuke Suzuki  
1st Author's Affiliation Hosei University (HU)
2nd Author's Name Toshimichi Saito  
2nd Author's Affiliation Hosei University (HU)
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Speaker Author-1 
Date Time 2025-08-07 14:15:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2025-27 
Volume (vol) vol.125 
Number (no) no.150 
Page pp.16-19 
#Pages 4 
Date of Issue 2025-07-31 (NLP) 

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