Presentation 2006-07-21
Asymptotic Lower Bound on Round Complexity of Bounded Concurrent Black-Box Zero-Knowledge Proof Protocols
Hirofumi MURATANI,
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Abstract(in English) We derive a lower bound on the round complexity of an m-bounded concurrent black-box zero-knowledge interactive proof protocol. This is an extension of the result of the Canetti-Kilian-Petrank-Rosen to the case of m-bounded concurrency. The resulting bound is [numerical formula]. Considering it together with our previous result on an upper bound ω(logm), we can conclude that the asymptotic order almost logm is optimal.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) concurrent black-box zero-knowledge / bounded concurrency / round complexity
Paper # ISEC2006-43
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Committee ISEC
Conference Date 2006/7/14(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Asymptotic Lower Bound on Round Complexity of Bounded Concurrent Black-Box Zero-Knowledge Proof Protocols
Sub Title (in English)
Keyword(1) concurrent black-box zero-knowledge
Keyword(2) bounded concurrency
Keyword(3) round complexity
1st Author's Name Hirofumi MURATANI
1st Author's Affiliation Corporate Research & Development Center, Toshiba Corporation()
Date 2006-07-21
Paper # ISEC2006-43
Volume (vol) vol.106
Number (no) 176
Page pp.pp.-
#Pages 8
Date of Issue