A family of weak keys in HFE and the corresponding practical key-recovery
Journal of Mathematical Cryptology, 2012 The HFE (hidden field equations) cryptosystem is one of the most interesting public-key multivariate schemes. It has been proposed more than 10 years ago by Patarin and seems to withstand the attacks that break many other multivariate schemes, since ...
Bouillaguet Charles +3 more
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Center conditions and limit cycles for BiLienard systems
Electronic Journal of Differential Equations, 2017 In this article we study the center problem for polynomial BiLienard systems of degree n. Computing the focal values and using Grobner bases we find the center conditions for such systems for n=6.
Jaume Gine
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On the first fall degree of summation polynomials
Journal of Mathematical Cryptology, 2019 We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.
Kousidis Stavros, Wiemers Andreas
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Comparing complexities of problems of determining of Grebner’s basis of ideal and solving this ideal
Труды Института системного программирования РАН, 2018 A new method of investigation of ideals in the rings of polynomials was proposed by B. Buchberger in 1965. He proposed to use special basis in such rings named “Gröbner Basis” in the honor of his teacher.
A. V. Shokurov
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Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals. [PDF]
Eur Phys J C Part Fields, 2021 Chen W.
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Comprehensive analysis of mutational signatures reveals distinct patterns and molecular processes across 27 pediatric cancers. [PDF]
Nat Cancer, 2023 Thatikonda V +14 more
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Closed graphs are proper interval graphs
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Let G be a connected simple graph. We prove that G is a closed graph if and only if G is a proper interval graph. As a consequence we obtain that there exist linear-time algorithms for closed graph recognition.
Crupi Marilena, Rinaldo Giancarlo
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HUBO and QUBO models for prime factorization. [PDF]
Sci Rep, 2023 Jun K, Lee H.
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Prevalence of germline pathogenic variants in 22 cancer susceptibility genes in Swedish pediatric cancer patients. [PDF]
Sci Rep, 2021 von Stedingk K +10 more
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Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. [PDF]
J Math Biol, 2022 Giunta V, Hillen T, Lewis MA, Potts JR.
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