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The multivariate quadratic polynomial problem (\(\mathcal MQ\) problem) is a fundamental computational problem in post-quantum cryptography. We denote by MQ(q, n, m) the \(\mathcal MQ\) problem of m quadratic equations in n variables over finite field \(\mathbb {F}_q\). At PKC 2012, an efficient algorithm for solving the underdetermined \(MQ(2^r,n,m)\)
Hiroki Furue +2 more
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The multivariate quadratic polynomial problem (\(\mathcal MQ\) problem) is a fundamental computational problem in post-quantum cryptography. We denote by MQ(q, n, m) the \(\mathcal MQ\) problem of m quadratic equations in n variables over finite field \(\mathbb {F}_q\). At PKC 2012, an efficient algorithm for solving the underdetermined \(MQ(2^r,n,m)\)
Hiroki Furue +2 more
openaire +1 more source
The Isomorphism of Polynomials Problem Applied to Multivariate Quadratic Cryptography
2014The threat quantum computing poses to traditional cryptosystems (such as RSA, elliptic-curve cryptosystems) has brought about the appearance of new systems resistant to it: among them, multivariate quadratic public-key ones. The security of the latter kind of cryptosystems is related to the isomorphism of polynomials (IP) problem.
Marta Conde Pena +3 more
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MQ on my Mind: Post-Quantum Signatures from the Non-Structured Multivariate Quadratic Problem
2024 IEEE 9th European Symposium on Security and Privacy (EuroS&P)Ryad Benadjila +2 more
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Exact Solution of the Quadratic Knapsack Problem
INFORMS Journal on Computing, 1999Alberto Caprara +2 more
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Ant colonies for the quadratic assignment problem
Journal of the Operational Research Society, 1999Marco Dorigo
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Tabu Search Applied to the Quadratic Assignment Problem
ORSA Journal on Computing, 1990Jadranka Skorin-Kapov
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MQ Challenge: Hardness Evaluation of Solving Multivariate Quadratic Problems.
IACR Cryptol. ePrint Arch., 2015Takanori Yasuda +4 more
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Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations.
IACR Cryptol. ePrint Arch., 2005Christopher Wolf, Bart Preneel
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A robust Island Parallel Genetic Algorithm for the Quadratic Assignment Problem
International Journal of Production Research, 2013Umut Tosun +2 more
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