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Paper Abstract and Keywords
Presentation 2009-07-24 14:15
Exponential evaluations in universal random privacy amplification
Masahito Hayashi (Tohoku Univ.) IT2009-25
Abstract (in Japanese) (See Japanese page) 
(in English) We derive
a new upper bound for Eve's information in secret key generation from a common random number without communication.
This bound improves on Bennett et al's bound using the R\'{e}nyi entropy of order 2
because the bound obtained here uses the R\'{e}nyi entropy of order $1+s$ for $s \in [0,1]$.
This bound is applied to a wire-tap channel.
Then, we derive an exponential upper bound for Eve's information.
Our exponent is compared with Hayashi's exponent.
For the additive case, the bound obtained here is better.
The result is applied to
secret key agreement by public discussion.
Keyword (in Japanese) (See Japanese page) 
(in English) exponential rate / non-asymptotic setting / secret key agreement / universal hash function / wire-tap channel / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 143, IT2009-25, pp. 115-120, July 2009.
Paper # IT2009-25 
Date of Issue 2009-07-16 (IT) 
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)
Download PDF IT2009-25

Conference Information
Committee IT  
Conference Date 2009-07-23 - 2009-07-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Kwansei Gakuin Univ. (Umeda campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Freshman session, general 
Paper Information
Registration To IT 
Conference Code 2009-07-IT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Exponential evaluations in universal random privacy amplification 
Sub Title (in English)  
Keyword(1) exponential rate  
Keyword(2) non-asymptotic setting  
Keyword(3) secret key agreement  
Keyword(4) universal hash function  
Keyword(5) wire-tap channel  
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1st Author's Name Masahito Hayashi  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
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Speaker Author-1 
Date Time 2009-07-24 14:15:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2009-25 
Volume (vol) vol.109 
Number (no) no.143 
Page pp.115-120 
#Pages
Date of Issue 2009-07-16 (IT) 


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