Presentation 2013-11-29
A Lossy Identification Scheme from the Subgroup Decision
Shingo HASEGAWA, Shuji ISOBE,
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Abstract(in English) Lossy identification schemes are used to construct tightly secure signature schemes via the Fiat-Shamir heuristic in the random oracle model. Several lossy identification schemes are instantiated by using many cryptographic assumptions, respectively. In this paper, we propose new instantiations of lossy identification schemes. We first construct a variant of the Schnorr's identification scheme, and show its lossiness under a slight variant of the subgroup decision assumption, what we call the generalized subgroup decision assumption. We also construct another lossy identification scheme which is based on the DCR assumption. Our DCR-based scheme has an advantage relative to the known DCR-based scheme since our scheme needs no modular exponentiation in the response phase.
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Keyword(in English) lossy identification schemes / the Fiat-Shamir heuristic / the subgroup decision assumption
Paper # ISEC2013-68,LOIS2013-34
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Committee LOIS
Conference Date 2013/11/21(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Lossy Identification Scheme from the Subgroup Decision
Sub Title (in English)
Keyword(1) lossy identification schemes
Keyword(2) the Fiat-Shamir heuristic
Keyword(3) the subgroup decision assumption
1st Author's Name Shingo HASEGAWA
1st Author's Affiliation Graduate School of Information Sciences Tohoku University()
2nd Author's Name Shuji ISOBE
2nd Author's Affiliation Graduate School of Information Sciences Tohoku University
Date 2013-11-29
Paper # ISEC2013-68,LOIS2013-34
Volume (vol) vol.113
Number (no) 327
Page pp.pp.-
#Pages 7
Date of Issue