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journal of Groups, Complexity, Cryptology
Article . 2010 . Peer-reviewed
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Article . 2010
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Article . 2010
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Algebraic attacks using SAT-solvers

Authors: Philipp Jovanovic; Martin Kreuzer;

Algebraic attacks using SAT-solvers

Abstract

An algebraic attack on a cryptosystem consists of transforming the problem into the solution of a system of polynomial equations, usually over a finite field. The paper ``Algebraic attacks using SAT-solvers'' discusses different ways to efficiently transform the polynomial system into a logical clause. These CNF-clauses are then attackable using SAT-solvers. The authors also consider the sub-problem of efficiently reducing systems in fields of size a power of two to the Boolean field. The paper shows experimentally that using SAT-solvers to attack cryptosystems is feasible. It outperforms Gröbner basis methods by orders of magnitude.

Related Organizations
Keywords

Mechanization of proofs and logical operations, Solving polynomial systems; resultants, AES, polynomial system solving, algebraic cryptanalysis, Cryptography, SAT solver, Symbolic computation and algebraic computation

  • BIP!
    Impact byBIP!
    selected citations
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    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).
    17
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Powered by OpenAIRE graph
Found an issue? Give us feedback
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!
17
Top 10%
Top 10%
Average
Published in a Diamond OA journal