Presentation 2000/11/6
An Application of the Traveling Salesman Problem to Public Key Cryptosystem
Tsutomu ANSAI, Hiroaki MATSUYAMA, Takahiro HAYATA, Kunikatsu KOBAYASHI,
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Abstract(in English) We propose a public key cryptosysmtem using the traveling salesman problem that is a NP complete probrem. A cycle corresponds to a plaintext and the total distance correspond to the ciphertext. We use Fibonacci numbers as the distance between the cities. In case of a plaintext and the ciphertext show one to one correspondence, by using the backtracking method, we can decrypt the ciphertext uniquely. We examine the security of this cryptosystem against LLL algorithm numerically.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) NP complete problem / the traveling salesman problem / public key cryptosystem / Fibonacci number / backtracking method / LLL algorithm
Paper # ISEC2000-91
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Committee ISEC
Conference Date 2000/11/6(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Application of the Traveling Salesman Problem to Public Key Cryptosystem
Sub Title (in English)
Keyword(1) NP complete problem
Keyword(2) the traveling salesman problem
Keyword(3) public key cryptosystem
Keyword(4) Fibonacci number
Keyword(5) backtracking method
Keyword(6) LLL algorithm
1st Author's Name Tsutomu ANSAI
1st Author's Affiliation Faculty of Engineering, Yamagata University()
2nd Author's Name Hiroaki MATSUYAMA
2nd Author's Affiliation Faculty of Engineering, Yamagata University
3rd Author's Name Takahiro HAYATA
3rd Author's Affiliation Faculty of Engineering, Yamagata University
4th Author's Name Kunikatsu KOBAYASHI
4th Author's Affiliation Faculty of Engineering, Yamagata University
Date 2000/11/6
Paper # ISEC2000-91
Volume (vol) vol.100
Number (no) 421
Page pp.pp.-
#Pages 8
Date of Issue