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[PDF] Efficient Implementations of Multivariate Quadratic Systems
crypto.orange-labs.fr › sac2006-174
Efficient implementations of such multivariate quadratic systems of equations without using any specific structure will thus benefit all multivariate schemes as ...
This work investigates several methods to achieve efficient software implementations of systems of multivariate quadratic equations. Such systems of ...
This work investigates several methods to achieve efficient software implementations of systems of multivariate quadratic equations. Such systems of ...
In this paper, we propose an efficient implementation of computing multivariate polynomial systems for multivariate cryptography on GPU and evaluate efficiency ...
strategies. These strategies were combined to implement the public com- putations of three asymmetric schemes as well as the stream cipher quad.
This work investigates several methods to achieve efficient software implementations of systems of multivariate quadratic equations. Such systems of ...
Jan 3, 2014 · If the Groebner basis of the corresponding ideal in K[x1,…,xn] can be computed, and has triangular form, then we can usually solve the system.
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The quadratic equations give a system of n(n + 1)/2 linear equations in n(n + 1)/2 variables which can be solved efficiently by Gauss elimination. Once we find ...
In this paper, we propose an efficient implementation of computing multivariate polynomial systems for multivariate cryptography on GPU and evaluate efficiency ...
In this paper, we propose an efficient implementation of computing multivariate polynomial systems for multivariate cryptography on GPU and evaluate efficiency ...