Presentation 2015-06-12
Knapsack Cryptosystems with Random Secret Sequences using Logical And Operation
Yasuyuki Murakami, Shinsuke Hamasho, Masao Kasahara,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In 2012, the present authors proposed a knapsack public-key cryptosystem using a random secret sequence, which will be referred to as MHK scheme. However, in CSS2013, Nagao and Morii discovered that the plaintext of MHK scheme can be disclosed by computing an alternative solution. This attack will be referred to as alternative solution attack. We then proposed MHK4 and MHK3 schemes which are secure against the alternative solution attack. In this paper, we clarify the relationship between MHK4 and MHK3 schemes by redefining the generalized version of these schemes and comparing them.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) knapsack cryptosystem / subset-sum problem / random sequence / MHK4 / MHK3 / AND / XOR
Paper # IA2015-11,ICSS2015-11
Date of Issue 2015-06-04 (IA, ICSS)

Conference Information
Committee IA / ICSS
Conference Date 2015/6/11(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Kyushu Institute of Technology Univ.
Topics (in Japanese) (See Japanese page)
Topics (in English) Internet Security, etc.
Chair Ken-ichi Yoshida(Univ. of Tsukuba) / Yutaka Miyake(KDDI R&D Labs.)
Vice Chair Hiroyuki Osaki(Kwansei Gakuin Univ.) / Masahiro Jibiki(NICT) / Yutaka Nakamura(Kyushu Inst. of Tech.) / Takashi Nishide(Univ. of Tsukuba) / Yoshiaki Shiraishi(Kobe Univ.)
Secretary Hiroyuki Osaki(Tokyo Inst. of Tech.) / Masahiro Jibiki(Osaka Univ.) / Yutaka Nakamura(Mitsubishi Electric) / Takashi Nishide(NII) / Yoshiaki Shiraishi
Assistant Yuichiro Hei(KDDI R&D Labs.) / Hiroshi Yamamoto(Ritsumeikan Univ.) / Toshiki Watanabe(NEC) / Katsunari Yoshioka(Yokohama National Univ.) / Kazunori Kamiya(NTT)

Paper Information
Registration To Technical Committee on Internet Architecture / Technical Committee on Information and Communication System Security
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Knapsack Cryptosystems with Random Secret Sequences using Logical And Operation
Sub Title (in English)
Keyword(1) knapsack cryptosystem
Keyword(2) subset-sum problem
Keyword(3) random sequence
Keyword(4) MHK4
Keyword(5) MHK3
Keyword(6) AND
Keyword(7) XOR
1st Author's Name Yasuyuki Murakami
1st Author's Affiliation Osaka Electro-Communication University(OECU)
2nd Author's Name Shinsuke Hamasho
2nd Author's Affiliation Osaka Electro-Communication University(OECU)
3rd Author's Name Masao Kasahara
3rd Author's Affiliation Waseda University/Chuo University(WU/CU)
Date 2015-06-12
Paper # IA2015-11,ICSS2015-11
Volume (vol) vol.115
Number (no) IA-80,ICSS-81
Page pp.pp.57-62(IA), pp.57-62(ICSS),
#Pages 6
Date of Issue 2015-06-04 (IA, ICSS)