Results 11 to 20 of about 3,441,413 (166)
Gröbner Basis Cryptanalysis of Ciminion and Hydra [PDF]
IACR Transactions on Symmetric CryptologyCiminion and Hydra are two recently introduced symmetric key Pseudo- Random Functions for Multi-Party Computation applications. For efficiency, both primitives utilize quadratic permutations at round level.
Matthias Johann Steiner
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The Role of Meprins on the Brain Extracellular Matrix and Perineuronal Nets. [PDF]
FASEB JMeprin β overexpression is implicated in Alzheimer's Disease. Recent studies identified brevican as a meprin β substrate, and this study demonstrates that meprin α co‐expression enhances meprin β‐mediated brevican cleavage. Further, neurocan and RPTPζ were identified as novel meprin β substrates in an N‐terminomics analysis of meprin β transgenic mice,
Kreiselmaier S +13 more
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Weyl Gröbner Basis Cryptosystems [PDF]
, 2011 In this thesis, we shall consider a certain class of algebraic cryptosystems called Gröbner Basis Cryptosystems. In 1994, Koblitz introduced the Polly Cracker cryptosystem that is based on the theory of Gröbner basis in commutative polynomials rings. The
Ali, Rashid
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Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure ...
Nicolas Thiéry
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Oracle-supported drawing of the Gröbner escalier
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 The aim of this note is to discuss the following quite queer problem: to compute the Gröbner basis of an ideal I w.r.t. a term-ordering ≺ without knowing neither the ideal nor the term-ordering but only a degree bound of the required Gröbner basis, being
Maria Emilia Alonso +2 more
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Complexity bounds on Semaev’s naive index calculus method for ECDLP
Journal of Mathematical Cryptology, 2020 Since Semaev introduced summation polynomials in 2004, a number of studies have been devoted to improving the index calculus method for solving the elliptic curve discrete logarithm problem (ECDLP) with better complexity than generic methods such as ...
Yokoyama Kazuhiro +3 more
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Computer Assisted Methods in Engineering and Science, 2023 Solving systems of algebraic equations is presented using the Gröbner Basis Package of the computer algebra system MAPLE V. The Grobner basis computations allow exact conclusions on the solutions of sets of polynomial equations, such as to decide if the
György Popper
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Elevating PGBMain algorithm performance through strategic minimal Dickson basis selection [PDF]
Computational Algorithms and Numerical DimensionsIn this paper, we enhance the PGBMain algorithm, an efficient method for computing Gröbner bases of parametric polynomial ideals, or Gröbner systems. A key step in the PGBMain algorithm involves computing a minimal Dickson basis in each iteration, which ...
Mahdi Dehghani Darmian
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A Robust Visual Localization Method With Unknown Focal Length Camera
IEEE Access, 2021 PnP problem is well researched in many fields, such as computer vision. It is considered the fundamental method to solve the key problems of robot SLAM.
Xiliang Yin +3 more
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Computing Independent Variable Sets for Polynomial Ideals
Journal of Mathematics, 2022 Computing independent variable sets for polynomial ideals plays an important role in solving high-dimensional polynomial equations. The computation of a Gröbner basis for an ideal, with respect to a block lexicographical order in classic methods, is huge,
Zhuoran Yang, Chang Tan
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