On the number of solutions of two-variable diagonal quartic equations over finite fields
AIMS Mathematics, 2020 Let $p$ be a odd prime number and let $\mathbb{F}_q$ be the finite field of characteristic $p$ with $q$ elements. In this paper, by using the Gauss sum and Jacobi sum, we give an explicit formula for the number $N(x_1^4+x_2^4=c)$ of solutions of the ...
Junyong Zhao, Yang Zhao, Yujun Niu
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Longitudinal static optical properties of hydrogen chains: finite field extrapolations of matrix product state calculations. [PDF]
Journal of Chemical Physics, 2012 We have implemented the sweep algorithm for the variational optimization of SU(2) U(1) (spin and particle number) invariant matrix product states (MPS) for general spin and particle number invariant fermionic Hamiltonians.
S. Wouters +3 more
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The recurrence formula for the number of solutions of a equation in finite field
AIMS Mathematics, 2021 The main purpose of this paper is using analytic methods to give a recurrence formula of the number of solutions of an equation over finite field. We use analytic methods to give a recurrence formula for the number of solutions of the above equation. And
Yanbo Song
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The complexity of pseudo-Kronecker and free-Kronecker forms of functions over finite fields
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 An approach enabling partial generalization of the Green–Sasao hierarchy for polynomial forms of Boolean functions to the case of an arbitrary finite field was introduced.
A.S. Baliuk
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Mayfly optimistic hyperelliptic curve cryptosystem
Frontiers in Computer ScienceVarious applications use asymmetric cryptography to secure communications between both parties, and it raises the main issue of generating vast amounts of computation and storage.
Ramireddy Nava Teja Reddy +7 more
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Constructions of pseudorandom binary lattices using cyclotomic classes in finite fields
Open Mathematics, 2020 In 2006, Hubert, Mauduit and Sárközy extended the notion of binary sequences to n-dimensional binary lattices and introduced the measures of pseudorandomness of binary lattices.
Chen Xiaolin
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Some Multisecret-Sharing Schemes over Finite Fields
Mathematics, 2020 A secret sharing scheme is a method of assigning shares for a secret to some participants such that only some distinguished subsets of these subsets can recover the secret while other subsets cannot.
Selda Çalkavur, Patrick Solé
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The number of rational points on a class of hypersurfaces in quadratic extensions of finite fields
Electronic Research Archive, 2023 Let $ q $ be an even prime power and let $ \mathbb{F}_{q} $ be the finite field of $ q $ elements. Let $ f $ be a nonzero polynomial over $ \mathbb{F}_{q^2} $ of the form $ f = a_{1}x_{1}^{m_{1}}+\dots+a_{s}x_{s}^{m_{s}}+y_{1}y_{2}+\dots+y_{n-1}y_{n}+y_ ...
Qinlong Chen , Wei Cao
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Computing character degrees via a Galois connection [PDF]
International Journal of Group Theory, 2015 In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
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On the Orders of the Elements of a Square Extension of a Finite Field of Characteristic 2
Современные информационные технологии и IT-образование, 2020 Let F(2m) will be an arbitrary finite field of characteristic 2. It’s square extension will be considered as an algebra with basiс elements 1 and e over the field F(2m).
Valery Maximov, Victoria Remezova
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