Presentation 2021-11-12
Zero-Knowledge Proof of Isolation in Graph with Strong Secrecy
Tomoki Murakami, Toru Nakanishi, Katsunobu Imai,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Network systems can be represented using graphs. What is important for a tenant is that his system is well connected (connectivity) and that his system is separated from other tenants (isolation). There is a demand for a method of confirming the connectivity and isolation to tenants without disclosing the network topology. As a solution, an RSA-based zero-knowledge proof scheme for a graph has been proposed. On the other hand, a scheme using a pairing-based accumulator has been proposed, where the proof size and the verification time do not depend on the total number of all vertexes and edges. However, in the scheme, the number of connected components was disclosed in the proof of isolation. Therefore, in this study, we propose a zero-knowledge proof scheme for isolation with the stronger secrecy by extending the previous pairing-based scheme. Then we implement the proposed scheme on a PC and evaluate it by measuring the processing time.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) zero-knowledge proof / graphs / accumulator / pairing
Paper # ISEC2021-42,SITE2021-36,LOIS2021-25
Date of Issue 2021-11-05 (ISEC, SITE, LOIS)

Conference Information
Committee SITE / ISEC / LOIS
Conference Date 2021/11/12(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Masaru Ogawa(Kobe Gakuin Univ.) / Tetsuya Izu(Fujitsu Labs.) / Toru Kobayashi(Nagasaki Univ.)
Vice Chair Takushi Otani(Kibi International Univ.) / Takeo Tatsumi(Open Univ. of Japan) / Noboru Kunihiro(Tsukuba Univ.) / Goichiro Hanaoka(AIST) / Hiroyuki Toda(NTT)
Secretary Takushi Otani(Yamaguchi Pref Univ.) / Takeo Tatsumi(Hokuriku Univ.) / Noboru Kunihiro(Fujitsu Labs.) / Goichiro Hanaoka(Ibaraki Univ.) / Hiroyuki Toda(Nagasaki Univ.)
Assistant Hideyuki Fujii(NRI-Secure) / Yusuke Tachibana(Fukuoka Inst. of Tech.) / Takahiro Matsuda(AIST) / Kazuki Fukae(Nagasaki Univ.)

Paper Information
Registration To Technical Committee on Social Implications of Technology and Information Ethics / Technical Committee on Information Security / Technical Committee on Life Intelligence and Office Information Systems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Zero-Knowledge Proof of Isolation in Graph with Strong Secrecy
Sub Title (in English)
Keyword(1) zero-knowledge proof
Keyword(2) graphs
Keyword(3) accumulator
Keyword(4) pairing
1st Author's Name Tomoki Murakami
1st Author's Affiliation Hiroshima University(Hiroshima Univ.)
2nd Author's Name Toru Nakanishi
2nd Author's Affiliation Hiroshima University(Hiroshima Univ.)
3rd Author's Name Katsunobu Imai
3rd Author's Affiliation Hiroshima University(Hiroshima Univ.)
Date 2021-11-12
Paper # ISEC2021-42,SITE2021-36,LOIS2021-25
Volume (vol) vol.121
Number (no) ISEC-239,SITE-240,LOIS-241
Page pp.pp.7-12(ISEC), pp.7-12(SITE), pp.7-12(LOIS),
#Pages 6
Date of Issue 2021-11-05 (ISEC, SITE, LOIS)