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Paper Abstract and Keywords
Presentation 2010-12-03 11:05
Energy-Efficient Threshold Circuits Computing Mod Functions
Akira Suzuki, Kei Uchizawa, Xiao Zhou (Tohoku Univ.) COMP2010-40
Abstract (in Japanese) (See Japanese page) 
(in English) We prove that the modulus function
MOD$_m$ of $n$ variables can be computed by a threshold circuit $C$ of
energy $e$ and size $s= O( e (n/m)^{1/(e-1)} )$ for any integer
$e \ge 2$,
where the energy $e$ is defined to be the maximum number of gates
outputting ``1''
over all inputs to $C$, and the size $s$ to be the number of gates in
Our upper bound on the size $s$ almost matches the known lower bound
$s=\Omega ( e (n/m)^{1/e} )$.
Keyword (in Japanese) (See Japanese page) 
(in English) Boolean function / energy complexity / MOD function / Parity function / threshold circuit / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 325, COMP2010-40, pp. 7-13, Dec. 2010.
Paper # COMP2010-40 
Date of Issue 2010-11-26 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 COMP2010-40

Conference Information
Committee COMP  
Conference Date 2010-12-03 - 2010-12-03 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyutech Plaza, Kyushu Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2010-12-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Energy-Efficient Threshold Circuits Computing Mod Functions 
Sub Title (in English)  
Keyword(1) Boolean function  
Keyword(2) energy complexity  
Keyword(3) MOD function  
Keyword(4) Parity function  
Keyword(5) threshold circuit  
1st Author's Name Akira Suzuki  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Kei Uchizawa  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Xiao Zhou  
3rd Author's Affiliation Tohoku University (Tohoku Univ.)
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Date Time 2010-12-03 11:05:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2010-40 
Volume (vol) IEICE-110 
Number (no) no.325 
Page pp.7-13 
#Pages IEICE-7 
Date of Issue IEICE-COMP-2010-11-26 

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