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PRF-ODH: Relations, Instantiations, and Impossibility Results

Brendel, Jacqueline ; Fischlin, Marc ; Günther, Felix ; Janson, Christian
Hrsg.: Katz, Jonathan ; Shacham, Hovav (2017)
PRF-ODH: Relations, Instantiations, and Impossibility Results.
Santa Barbara, CA, USA
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

The pseudorandom-function oracle-Diffie--Hellman (PRF-ODH) assumption has been introduced recently to analyze a variety of DH-based key exchange protocols, including TLS 1.2 and the TLS 1.3 candidates, as well as the extended access control (EAC) protocol. Remarkably, the assumption comes in different flavors in these settings and none of them has been scrutinized comprehensively yet. In this paper here we therefore present a systematic study of the different PRF-ODH variants in the literature. In particular, we analyze their strengths relative to each other, carving out that the variants form a hierarchy. We further investigate the boundaries between instantiating the assumptions in the standard model and the random oracle model. While we show that even the strongest variant is achievable in the random oracle model under the strong Diffie--Hellman assumption, we provide a negative result showing that it is implausible to instantiate even the weaker variants in the standard model via algebraic black-box reductions to common cryptographic problems.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2017
Herausgeber: Katz, Jonathan ; Shacham, Hovav
Autor(en): Brendel, Jacqueline ; Fischlin, Marc ; Günther, Felix ; Janson, Christian
Art des Eintrags: Bibliographie
Titel: PRF-ODH: Relations, Instantiations, and Impossibility Results
Sprache: Deutsch
Publikationsjahr: August 2017
Verlag: Springer
Buchtitel: CRYPTO 2017 - 37th International Cryptology Conference
Veranstaltungsort: Santa Barbara, CA, USA
Kurzbeschreibung (Abstract):

The pseudorandom-function oracle-Diffie--Hellman (PRF-ODH) assumption has been introduced recently to analyze a variety of DH-based key exchange protocols, including TLS 1.2 and the TLS 1.3 candidates, as well as the extended access control (EAC) protocol. Remarkably, the assumption comes in different flavors in these settings and none of them has been scrutinized comprehensively yet. In this paper here we therefore present a systematic study of the different PRF-ODH variants in the literature. In particular, we analyze their strengths relative to each other, carving out that the variants form a hierarchy. We further investigate the boundaries between instantiating the assumptions in the standard model and the random oracle model. While we show that even the strongest variant is achievable in the random oracle model under the strong Diffie--Hellman assumption, we provide a negative result showing that it is implausible to instantiate even the weaker variants in the standard model via algebraic black-box reductions to common cryptographic problems.

Freie Schlagworte: Solutions;S4
ID-Nummer: TUD-CS-2017-0107
Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
20 Fachbereich Informatik > Kryptographie und Komplexitätstheorie
DFG-Sonderforschungsbereiche (inkl. Transregio)
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche
Profilbereiche
Profilbereiche > Cybersicherheit (CYSEC)
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 1119: CROSSING – Kryptographiebasierte Sicherheitslösungen als Grundlage für Vertrauen in heutigen und zukünftigen IT-Systemen
Hinterlegungsdatum: 11 Mai 2017 14:11
Letzte Änderung: 07 Mai 2019 13:54
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