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Cryptanalysis of the oil and vinegar signature scheme

Authors: Aviad Kipnis; Adi Shamir;

Cryptanalysis of the oil and vinegar signature scheme

Abstract

Several multivariate algebraic signature schemes had been proposed in recent years, but most of them had been broken by exploiting the fact that their secret trapdoors are low rank algebraic structures. One of the few remaining variants is Patarin's”Oil & Vinegar” scheme, which is based on a system of n quadratic forms in 2n variables of two flavors (n ”oil” variables and n ”vinegar” variables). The security of the scheme depends on the difficulty of distinguishing between the two types, and does not seem to be susceptible to known low rank attacks. In this paper we describe two novel algebraic attacks which can efficiently separate the oil and vinegar variables, and thus forge arbitrary signatures.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
133
Top 1%
Top 1%
Average
bronze