Presentation 2006-07-21
A Study of Partial Disclosure Problem in Ramp Schemes Using Polynomial Function : A Proposal of Cascaded Ramp Scheme
Keiichi HIROTA, Kazuo MOGI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Ramp scheme using polynomial function has "Partial Disclosure Problem" which some information about the secret leak partially from fewer shares than threshold. The safety of such situation has been discussed from the viewpoint of entropy and concluded it depends on data length of shares. However, in a ramp scheme, the relationship between the partial information of the secret can be obtained as a simple linear expression over finite field, so that adversary can 1. easily search the possible answer sets with less calculation, and 2. narrow the search range according to the restriction from data syntax and semantics when dealing with the real data. In this paper, we propose "Cascaded Ramp Scheme" in which more than two polynomial functions are cascaded by coefficients and arguments to increase search calculation cost.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Ramp Scheme / Partial Disclosure Problem / Polynomial Function / Cascaded Ramp Scheme
Paper # ISEC2006-40
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Committee ISEC
Conference Date 2006/7/14(1days)
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Registration To Information Security (ISEC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Study of Partial Disclosure Problem in Ramp Schemes Using Polynomial Function : A Proposal of Cascaded Ramp Scheme
Sub Title (in English)
Keyword(1) Ramp Scheme
Keyword(2) Partial Disclosure Problem
Keyword(3) Polynomial Function
Keyword(4) Cascaded Ramp Scheme
1st Author's Name Keiichi HIROTA
1st Author's Affiliation NTT Information Sharing Platform Laboratories()
2nd Author's Name Kazuo MOGI
2nd Author's Affiliation NTT Communications Corporation
Date 2006-07-21
Paper # ISEC2006-40
Volume (vol) vol.106
Number (no) 176
Page pp.pp.-
#Pages 8
Date of Issue