Presentation 2018-05-17
Public key attack on knapsak PKC based on subset sum decision problem
Ryuichi Sakai, Yasuyuki Murakami,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In 2012, Murakami, Hamasho and Kasahara have proposed a knapsack PKC based on the subset sum decision problem. An attack against these type of knapsack PKCs by computing alternative solutions of the knapsack problem is then proposed by Nagao and Morii. In 2016, one of the authors, Murakami, have also proposed the knapsack type PKC (M16 PKC) based on the subset sum decision problem for preventing Nagao and Morii attack. In this paper, we propose the new effective attacks against M16 knapsack PKC. The proposed attacks are able to compute equivalent secret key from the public key, and decode the cipher text of M16 PKC with the equivalent secret key, in a same way of the decryption with the legitimate ecret(decryption) keys.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) knapsack PKC / subset sum decision problem / public key attack / equivalent secret key attack
Paper # IT2018-6,EMM2018-6
Date of Issue 2018-05-10 (IT, EMM)

Conference Information
Committee IT / EMM
Conference Date 2018/5/17(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Ookayama Campus, Tokyo Institute of Technology
Topics (in Japanese) (See Japanese page)
Topics (in English) Information Security, Information Theory, Information Hiding, etc.
Chair Masayoshi Ohashi(Fukuoka Univ.) / Keiichi Iwamura(TUS)
Vice Chair Jun Muramatsu(NTT) / Hirohisa Hioki(Kyoto Univ.) / Minoru Kuribayashi(Okayama Univ.)
Secretary Jun Muramatsu(Yokohama College of Commerce) / Hirohisa Hioki(UEC) / Minoru Kuribayashi(Shizuoka Univ.)
Assistant Sigeaki Kuzuoka(wakayama univ.) / Hyunho Kang(NIT, Tokyo College) / Harumi Murata(Chukyo Univ.)

Paper Information
Registration To Technical Committee on Information Theory / Technical Committee on Enriched MultiMedia
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Public key attack on knapsak PKC based on subset sum decision problem
Sub Title (in English)
Keyword(1) knapsack PKC
Keyword(2) subset sum decision problem
Keyword(3) public key attack
Keyword(4) equivalent secret key attack
1st Author's Name Ryuichi Sakai
1st Author's Affiliation Osaka Electro-Communication University(Osaka Electro-Communication Univ.)
2nd Author's Name Yasuyuki Murakami
2nd Author's Affiliation Osaka Electro-Communication University(Osaka Electro-Communication Univ.)
Date 2018-05-17
Paper # IT2018-6,EMM2018-6
Volume (vol) vol.118
Number (no) IT-31,EMM-32
Page pp.pp.31-34(IT), pp.31-34(EMM),
#Pages 4
Date of Issue 2018-05-10 (IT, EMM)