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Fast Quantum Algorithm for Solving Multivariate Quadratic Equations
NSA Solving Multivariate Quadratic Equations
2017/12/25
In August 2015 the cryptographic world was shaken by a sudden and surprising announcement by the US National Security Agency (NSA) concerning plans to transition to post-quantum algorithms. Since this...
Asymptotically faster quantum algorithms to solve multivariate quadratic equations
FXL Grover reversibility
2017/12/19
Asymptotically faster quantum algorithms to solve multivariate quadratic equations.
Algorithms to solve massively under-defined systems of multivariate quadratic equations
under-defined multivariate quadratic equations oil and vinegar signature scheme
2009/6/12
It is well known that the problem to solve a set of randomly chosen multivariate
quadratic equations over a finite field is NP-hard. However, when the number of
variables is much larger than the num...
Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations
Public Key Schemes Multivariate Quadratic equations
2009/1/20
Multivariate quadratic systems can be used to construct both secure and effi-
cient public key schemes. In this article, we introduce the necessary mathematical
tools to deal with multivariate quadr...