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Paper Abstract and Keywords
Presentation 2011-11-14 10:00
Evaluation and Improvement against a Lattice Trapdoor Function in the Alwen-Peikert Construction
Yosuke Todo, Masakatu Morii (Kobe Univ.) ISEC2011-34 LOIS2011-28
Abstract (in Japanese) (See Japanese page) 
(in English) In 2009, Peikert proposed a public-key cryptosystem that is secure against the chosen ciphertext attack. In this cryptosystem, a trapdoor function of Learning with Errors~(LWE) problem is constructed by some algorithms: for example Ajtai~(ICALP 1999) and Alwen-Peikert~(STACS 2009). In this paper, we evaluate decryption failures of the trapdoor function constructed by the Alwen-Peikert construction~(AP09 construction) and the evaluation is available to the Peikert's cryptosystem. Next, we improve the AP09 construction by eliminating the redundancy. Our proposed construction can reduce the size of a public key, a secret key, and a ciphertext.
Keyword (in Japanese) (See Japanese page) 
(in English) Public-key cryptosystem / Lattices / LWE / Trapdoor function / Alwen-Peikert construction / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 285, ISEC2011-34, pp. 1-6, Nov. 2011.
Paper # ISEC2011-34 
Date of Issue 2011-11-07 (ISEC, LOIS) 
ISSN Print edition: ISSN 0913-5685    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)
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Conference Information
Committee ISEC LOIS  
Conference Date 2011-11-14 - 2011-11-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Electro-Communication University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2011-11-ISEC-LOIS 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Evaluation and Improvement against a Lattice Trapdoor Function in the Alwen-Peikert Construction 
Sub Title (in English)  
Keyword(1) Public-key cryptosystem  
Keyword(2) Lattices  
Keyword(3) LWE  
Keyword(4) Trapdoor function  
Keyword(5) Alwen-Peikert construction  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Yosuke Todo  
1st Author's Affiliation Kobe University (Kobe Univ.)
2nd Author's Name Masakatu Morii  
2nd Author's Affiliation Kobe University (Kobe Univ.)
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Speaker Author-1 
Date Time 2011-11-14 10:00:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2011-34, LOIS2011-28 
Volume (vol) vol.111 
Number (no) no.285(ISEC), no.286(LOIS) 
Page pp.1-6 
#Pages
Date of Issue 2011-11-07 (ISEC, LOIS) 


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