Presentation 2007-11-22
Knapsack Cryptosystem on Elliptic Curves of Trace Tow
Koichiro NORO, Kunikatsu KOBAYASHI,
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Abstract(in English) The LLL algorithm is strong algorithm that decrypts the additional type Knapsack cryptosystem. However, the LLL algorithm is not applicable in the addition in the group that rational points of elliptic curves on finite fields do. Therefore, we think the Knapsack cryptosystem constructed on elliptic curves. For elliptic curves of trace 2, the computational complexity of the decryption can be made a subexponential time by converting the discrete logarithm problem on elliptic curves into the discrete logarithm problem on the multiplication group of finite fields by using the pairing. However, the computational complexity of the decryption can be made a polynomial time by taking properties of the pairing and calculations of the multiplication type Knapsack cryptosystem.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Knapsack cryptosystem / LLL algorithm / elliptic curves of trace 2 / pairing
Paper # ISEC2007-100,OIS2007-72
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Committee ISEC
Conference Date 2007/11/15(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Knapsack Cryptosystem on Elliptic Curves of Trace Tow
Sub Title (in English)
Keyword(1) Knapsack cryptosystem
Keyword(2) LLL algorithm
Keyword(3) elliptic curves of trace 2
Keyword(4) pairing
1st Author's Name Koichiro NORO
1st Author's Affiliation Faculty of Engineering, Yamagata University()
2nd Author's Name Kunikatsu KOBAYASHI
2nd Author's Affiliation Faculty of Engineering, Yamagata University
Date 2007-11-22
Paper # ISEC2007-100,OIS2007-72
Volume (vol) vol.107
Number (no) 346
Page pp.pp.-
#Pages 4
Date of Issue