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Paper Abstract and Keywords
Presentation 2022-01-20 13:15
Enumeration of Both-Ends-Fixed $k$-ary Necklaces and Its Applications
Hiroshi Fujisaki (Kanazawa Univ.) IT2021-48 SIP2021-56 RCS2021-216
Abstract (in Japanese) (See Japanese page) 
(in English) We consider both-ends-fixed $k$-ary necklaces and enumerate all such necklaces of length $n$ from the viewpoints of symbolic dynamics and $beta$-expansions, where $n$ and $k$ are natural numbers, $kgeq2$, and $beta$ is a real number with $beta>1$. Recently, Sawada et al. proposed an efficient construction of $k$-ary de Bruijn sequence of length $k^n$, which for each $ngeq1$, requires $O(n)$ space but generates a single $k$-ary de Bruijn sequence of length $k^n$ in $O(1)$-amortized time per bit. Based on the enumeration of both-ends-fixed $k$-ary necklaces of length $n$, we evaluate auto-correlation values of the $k$-ary de Bruijn sequences of length $k^n$ constructed by Sawada et al.
Keyword (in Japanese) (See Japanese page) 
(in English) $k$-ary necklaces / symbolic dynamics / $beta$-expansions / $k$-ary de Bruijn sequences / auto-correlation function / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 327, IT2021-48, pp. 107-112, Jan. 2022.
Paper # IT2021-48 
Date of Issue 2022-01-13 (IT, SIP, RCS) 
ISSN Online edition: ISSN 2432-6380
Copyright
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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 IT2021-48 SIP2021-56 RCS2021-216

Conference Information
Committee RCS SIP IT  
Conference Date 2022-01-20 - 2022-01-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2022-01-RCS-SIP-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Enumeration of Both-Ends-Fixed $k$-ary Necklaces and Its Applications 
Sub Title (in English)  
Keyword(1) $k$-ary necklaces  
Keyword(2) symbolic dynamics  
Keyword(3) $beta$-expansions  
Keyword(4) $k$-ary de Bruijn sequences  
Keyword(5) auto-correlation function  
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1st Author's Name Hiroshi Fujisaki  
1st Author's Affiliation Kanazawa University (Kanazawa Univ.)
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Speaker Author-1 
Date Time 2022-01-20 13:15:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2021-48, SIP2021-56, RCS2021-216 
Volume (vol) vol.121 
Number (no) no.327(IT), no.328(SIP), no.329(RCS) 
Page pp.107-112 
#Pages 6 
Date of Issue 2022-01-13 (IT, SIP, RCS) 

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