Results 1 to 10 of about 10,791,227 (313)
Barekeng, 2021 Kode blok adalah skema penyandian yang menggunakan sistem kode-kode pada suatu lapangan hingga dengan panjang yang sama dan tetap. Kode blok linear atau lebih sering disebut kode linear atas suatu lapangan hingga merupakan himpunan kode-kode blok dengan ...
Juli Loisiana Butar-Butar +1 more
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Counting Quiver Representations over Finite Fields Via Graph Enumeration [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $\Gamma$ be a quiver on $n$ vertices $v_1, v_2, \ldots , v_n$ with $g_{ij}$ edges between $v_i$ and $v_j$, and let $\boldsymbol{\alpha} \in \mathbb{N}^n$.
Geir Helleloid +1 more
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A theorem about linear rank inequalities that depend on the characteristic of the finite field
Selecciones Matemáticas, 2022 A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any finite field. A characteristic-dependent linear rank inequality is also a linear inequality that involves dimensions of vector spaces but this holds over ...
Victor Peña-Macias
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Supercurrent diode effect and finite-momentum superconductors [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Our work shows a fascinating application of finite-momentum superconductivity, the supercurrent diode effect, which is being reported in a growing number of experiments.
N. Yuan, L. Fu
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Finite field formalism for bulk electrolyte solutions [PDF]
Journal of Chemical Physics, 2019 The manner in which electrolyte solutions respond to electric fields is crucial to understanding the behavior of these systems both at, and away from, equilibrium.
S. Cox, M. Sprik
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Primitive values of quadratic polynomials in a finite field [PDF]
Mathematics of Computation, 2018 We prove that for all $q>211$, there always exists a primitive root $g$ in the finite field $\mathbb{F}_{q}$ such that $Q(g)$ is also a primitive root, where $Q(x)= ax^2 + bx + c$ is a quadratic polynomial with $a, b, c\in \mathbb{F}_{q}$ such that $b^{2}
A. Booker +3 more
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The number of rational points of certain quartic diagonal hypersurfaces over finite fields
AIMS Mathematics, 2020 Let $p$ be an odd prime and let $\mathbb{F}_q$ be a finite field of characteristic $p$ with order $q=p^s$. For $f(x_1, \cdots, x_n)\in\mathbb{F}_q[x_1, ..., x_n]$, we denote by $N(f(x_1, \cdots, x_n)=0)$ the number of $\mathbb{F}_q$-rational points on ...
Junyong Zhao, Shaofang Hong, Chaoxi Zhu
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Information, 2021 Linear complexity is an important criterion to characterize the unpredictability of pseudo-random sequences, and large linear complexity corresponds to high cryptographic strength.
Jiang Ma +3 more
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ISA Extensions for Finite Field Arithmetic - Accelerating Kyber and NewHope on RISC-V
IACR Cryptology ePrint Archive, 2020 We present and evaluate a custom extension to the RISC-V instruction set for finite field arithmetic. The result serves as a very compact approach to software-hardware co-design of PQC implementations in the context of small embedded processors such as ...
E. Alkım +4 more
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Elements of high order in finite fields specified by binomials
Karpatsʹkì Matematičnì Publìkacìï, 2022 Let $F_q$ be a field with $q$ elements, where $q$ is a power of a prime number $p\geq 5$. For any integer $m\geq 2$ and $a\in F_q^*$ such that the polynomial $x^m-a$ is irreducible in $F_q[x]$, we combine two different methods to explicitly construct ...
V. Bovdi, A. Diene, R. Popovych
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