Presentation 2004/5/12
Cryptanalysis of the knapsack cryptosystem over the Gaussian integers
Hisashi SAKAMOTO, Yasuyuki MURAKAMI, Akira HAYASHI,
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Abstract(in English) We discuss the knapsack cryptosystem over the Gaussian integers proposed by Kunikatsu Kobayashi et al. at the 2003 SCIS. We first point out that in some cases unique decipherability is not guaranteed. We then modify the key generation method so that unique decipherability is attained. Finally we show by computer experiments that the proposed cryptosystem and its modified version are insecure.
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Keyword(in English) public key / knapsack cryptosystem / Gaussian integer / Lagarias-Odlyzko attack / LLL algorithm
Paper # ISEC2004-5
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Committee ISEC
Conference Date 2004/5/12(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Cryptanalysis of the knapsack cryptosystem over the Gaussian integers
Sub Title (in English)
Keyword(1) public key
Keyword(2) knapsack cryptosystem
Keyword(3) Gaussian integer
Keyword(4) Lagarias-Odlyzko attack
Keyword(5) LLL algorithm
1st Author's Name Hisashi SAKAMOTO
1st Author's Affiliation Kanazawa Institute of Technology()
2nd Author's Name Yasuyuki MURAKAMI
2nd Author's Affiliation Osaka Electro-Communication University
3rd Author's Name Akira HAYASHI
3rd Author's Affiliation Kanazawa Institute of Technology
Date 2004/5/12
Paper # ISEC2004-5
Volume (vol) vol.104
Number (no) 53
Page pp.pp.-
#Pages 5
Date of Issue