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Towards provable security of the Unbalanced Oil and Vinegar signature scheme under direct attacks

Bulygin, Stanislav ; Petzoldt, Albrecht ; Buchmann, Johannes
Hrsg.: Gong, G. ; Gupta, K. C. (2010)
Towards provable security of the Unbalanced Oil and Vinegar signature scheme under direct attacks.
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

In this paper we show that solving systems coming from the public key of the Unbalanced Oil and Vinegar (UOV) signature scheme is on average at least as hard as solving a certain quadratic system with completely random quadratic part. In providing lower bounds on direct attack complexity we rely on the empirical fact that complexity of solving a non-linear polynomial system is determined by the homogeneous part of this system of the highest degree. Our reasoning explains, in particular, the results on solving the UOV systems presented by J.-C. Faugere and L. Perret at the SCC conference in 2008.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2010
Herausgeber: Gong, G. ; Gupta, K. C.
Autor(en): Bulygin, Stanislav ; Petzoldt, Albrecht ; Buchmann, Johannes
Art des Eintrags: Bibliographie
Titel: Towards provable security of the Unbalanced Oil and Vinegar signature scheme under direct attacks
Sprache: Englisch
Publikationsjahr: Dezember 2010
Verlag: Springer
Buchtitel: Proceedings of IndoCrypt 2010
Reihe: Lecture Notes in Computer Science
Band einer Reihe: 6498
Kurzbeschreibung (Abstract):

In this paper we show that solving systems coming from the public key of the Unbalanced Oil and Vinegar (UOV) signature scheme is on average at least as hard as solving a certain quadratic system with completely random quadratic part. In providing lower bounds on direct attack complexity we rely on the empirical fact that complexity of solving a non-linear polynomial system is determined by the homogeneous part of this system of the highest degree. Our reasoning explains, in particular, the results on solving the UOV systems presented by J.-C. Faugere and L. Perret at the SCC conference in 2008.

Freie Schlagworte: Secure Data;Multivariate Cryptography, UOV Signature Scheme, provable security, security reduction, semi-regular sequence
ID-Nummer: TUD-CS-2010-0230
Fachbereich(e)/-gebiet(e): LOEWE > LOEWE-Zentren > CASED – Center for Advanced Security Research Darmstadt
20 Fachbereich Informatik > Theoretische Informatik - Kryptographie und Computeralgebra
LOEWE > LOEWE-Zentren
20 Fachbereich Informatik
LOEWE
Hinterlegungsdatum: 30 Dez 2016 20:23
Letzte Änderung: 17 Mai 2018 13:02
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