Presentation 2000/3/16
A Discrete Log Cryptosystem Using Graph Isomorphism
Yutaka KAWADA, Eikoh CHIDA, Masahiro MAMBO, Hiroki SHIZUYA,
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Abstract(in English) The ElGamal cryptosystem is a cryptosystem based on the discrete logarithm problem over a finite field. In terms of the class of computational complexity, the discrete logarithm problem belongs to NP∩co-NP. One of problems belonging to a higher class NP∩co-AM is the graph isomorphism problem. Because of the difference of the class, a cryptosystem using the graph isomorphism is expected to be stronger than that based on the discrete logarithm problem over a finite field. There are not much cryptosystems using the graph isomorphism except the scheme in [5]. Therefore, we propose an ElGamal-type cryptosystem using graph isomorphism and analyze its security by the approach of computational complexity theory.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Graph isomorphism / Discrete logarithm / ElGamal cryptosystem / Reduction
Paper # IT99-79,ISEC99-118,SST99-127
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Committee ISEC
Conference Date 2000/3/16(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) A Discrete Log Cryptosystem Using Graph Isomorphism
Sub Title (in English)
Keyword(1) Graph isomorphism
Keyword(2) Discrete logarithm
Keyword(3) ElGamal cryptosystem
Keyword(4) Reduction
1st Author's Name Yutaka KAWADA
1st Author's Affiliation Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University()
2nd Author's Name Eikoh CHIDA
2nd Author's Affiliation Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University
3rd Author's Name Masahiro MAMBO
3rd Author's Affiliation Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University
4th Author's Name Hiroki SHIZUYA
4th Author's Affiliation Department of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University
Date 2000/3/16
Paper # IT99-79,ISEC99-118,SST99-127
Volume (vol) vol.99
Number (no) 701
Page pp.pp.-
#Pages 6
Date of Issue