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Paper Abstract and Keywords
Presentation 2007-09-20 10:35
Alternating tricodes and modified RSA cryptosystems
Feng Ding, Shuji Jimbo, Kosaburo Hashiguchi (Okayama Univ.) COMP2007-33
Abstract (in Japanese) (See Japanese page) 
(in English) In previous papers, we introduce the notions of bicodes, alternating bicodes and tricodes, and propose modified RSA cryptosystems in which encryption and decryption are done by depending on the RSA cryptosystem and sending messages are done in the form of bicodes,alternating bicodes or tricodes, respectively. A bicode is a code of the form of a finite sequence of pairs of words such that any encoded message $w$ is a concurrent combination of the left part ($X$-part) of $w$ and the right part ($Y$-part) of $w$. An alternating bicode is a code of the form of a finite sequence of pairs of words such that any encoded message $w$ is a concurrent combination of the left part (the odd $X$-part and the even $Y$-part) of $w$ and the right part (the odd $Y$-part and the even $X$-part) of $w$. A tricode is a code of the form of a finite sequence of pairs of words such that any encoded message $w$ is a concurrent combination of the left part ($X$-part) of $w$, the right part ($Y$-part) of $w$ and the central part ($X$-part and $Y$-part) of $w$. In this paper, we introduce the notion of alternating tricodes and propose four families of modified RSA cryptosystems in which encryption and decryption are done by depending on the RSA cryptosystem and sending messages are done in the form of alternating tricodes. An alternating tricode is a code of the form of a finite sequence of pairs of words such that any encoded message $w$ is a concurrent combination of the left part (the odd $X$-part and the even $Y$-part) of $w$, the right part (the odd $Y$-part and the even $X$-part) of $w$ and the central part
(the odd $XY$-part and the even $YX$-part) of $w$. We study some properties of alternating tricodes, and show that the alternating tricode problem is undecidable, that is, there does not exist an algorithm for determing whether or not any given finite sequence of pairs of words is an alternating tricodes.
Keyword (in Japanese) (See Japanese page) 
(in English) tricode / alternating tricode / new codes / RSA cryptosystems / / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 219, COMP2007-33, pp. 5-12, Sept. 2007.
Paper # COMP2007-33 
Date of Issue 2007-09-13 (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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Conference Information
Committee COMP  
Conference Date 2007-09-20 - 2007-09-20 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To COMP 
Conference Code 2007-09-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Alternating tricodes and modified RSA cryptosystems 
Sub Title (in English)  
Keyword(1) tricode  
Keyword(2) alternating tricode  
Keyword(3) new codes  
Keyword(4) RSA cryptosystems  
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1st Author's Name Feng Ding  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Shuji Jimbo  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Kosaburo Hashiguchi  
3rd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2007-09-20 10:35:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2007-33 
Volume (vol) vol.107 
Number (no) no.219 
Page pp.5-12 
#Pages 8 
Date of Issue 2007-09-13 (COMP) 

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