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Paper Abstract and Keywords
Presentation 2021-05-20 13:00
An Improved Key Generation Method in Knapsack Cryptosystem using Shifted-odd and Super-increasing Sequence
Minami Sato, Yasuyuki Murakami (OECU) IT2021-1 EMM2021-1
Abstract (in Japanese) (See Japanese page) 
(in English) The security of most of the public-key cryptosystem depends
on the difficulty of the factoring problem,
the discrete logarithm problem or
the elliptic curve discrete logarithm problem.
However, it is shown that the quantum computer
can solve these problems in polynomial time.
Thus, it is desired to investigate other classes of PKCs
that do not rely on the difficulty of these problems.
It is believed that even the quantum computer can not solve
NP-hard problems such as the subset-sum problem.
The knapsack cryptosystem is based on the subset-sum problem.
Murakami and Kasahara proposed a new trapdoor sequence
which is made by combining shifted-odd sequence and
super-increasing sequence (SOSI sequence).
In this study, we shall show that the secure density can
not be realized in their secret key generation.
Moreover, we shall give a new generating method of
SOSI sequence, which realize a suffciently high density.
Keyword (in Japanese) (See Japanese page) 
(in English) super-increasing sequence / shifted-odd sequence / low-density attack / SOSI knapsack cryptosystem / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 29, EMM2021-1, pp. 1-6, May 2021.
Paper # EMM2021-1 
Date of Issue 2021-05-13 (IT, EMM) 
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)
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Conference Information
Committee EMM IT  
Conference Date 2021-05-20 - 2021-05-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information Security, Information Theory, Information Hiding, etc. 
Paper Information
Registration To EMM 
Conference Code 2021-05-EMM-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Improved Key Generation Method in Knapsack Cryptosystem using Shifted-odd and Super-increasing Sequence 
Sub Title (in English)  
Keyword(1) super-increasing sequence  
Keyword(2) shifted-odd sequence  
Keyword(3) low-density attack  
Keyword(4) SOSI knapsack cryptosystem  
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Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Minami Sato  
1st Author's Affiliation Osaka Electro-Communication University (OECU)
2nd Author's Name Yasuyuki Murakami  
2nd Author's Affiliation Osaka Electro-Communication University (OECU)
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Speaker Author-1 
Date Time 2021-05-20 13:00:00 
Presentation Time 25 minutes 
Registration for EMM 
Paper # IT2021-1, EMM2021-1 
Volume (vol) vol.121 
Number (no) no.28(IT), no.29(EMM) 
Page pp.1-6 
#Pages
Date of Issue 2021-05-13 (IT, EMM) 


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