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Paper Abstract and Keywords
Presentation 2006-07-21 10:20
Traveling Salesman Problem and Tribonacci Sequence
Kunikatsu Kobayashi, Seiichirou Kokubun (Yamagata Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) We consider the relation between the cycle and cycle length of traveling salesman problem using tribonacci sequence. It is shown that the condition which fix the cycle uniquely from the cycle length of traveling salesman problem using tribonacci sequence is obtained. Then, we apply the traveling salesman problem using tribonacci sequence to public key cryptosystem. As the plural constant t of affine transformation sa+t are used in key generation, this decoding algorithm becomes to non-deterministic algorithm and the complexity for decoding is exponential order relative to the number of t.
Keyword (in Japanese) (See Japanese page) 
(in English) Traveling salesman problem / Toribonacci sequence / Hamilton cycle super-increasing / Affine transformation / Non-deterministic decoding algorithm / / /  
Reference Info. IEICE Tech. Rep., vol. 106, no. 176, ISEC2006-42, pp. 13-18, July 2006.
Paper # ISEC2006-42 
Date of Issue 2006-07-14 (ISEC) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Conference Date 2006-07-20 - 2006-07-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Okayama Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2006-07-ISEC-SITE-IPSJ-CSEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Traveling Salesman Problem and Tribonacci Sequence 
Sub Title (in English)  
Keyword(1) Traveling salesman problem  
Keyword(2) Toribonacci sequence  
Keyword(3) Hamilton cycle super-increasing  
Keyword(4) Affine transformation  
Keyword(5) Non-deterministic decoding algorithm  
1st Author's Name Kunikatsu Kobayashi  
1st Author's Affiliation Yamagata University (Yamagata Univ.)
2nd Author's Name Seiichirou Kokubun  
2nd Author's Affiliation Yamagata University (Yamagata Univ.)
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Date Time 2006-07-21 10:20:00 
Presentation Time 25 
Registration for ISEC 
Paper # IEICE-ISEC2006-42 
Volume (vol) IEICE-106 
Number (no) no.176 
Page pp.13-18 
#Pages IEICE-6 
Date of Issue IEICE-ISEC-2006-07-14 

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