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
$C$.
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 |
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) |
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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) |
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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) |
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Keyword(1) |
Boolean function |
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energy complexity |
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MOD function |
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Parity function |
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threshold circuit |
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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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Speaker |
Author-1 |
Date Time |
2010-12-03 11:05:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2010-40 |
Volume (vol) |
vol.110 |
Number (no) |
no.325 |
Page |
pp.7-13 |
#Pages |
7 |
Date of Issue |
2010-11-26 (COMP) |
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