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Affine extractors over prime fields

Combinatorica, 2011
An affine extractor is a map from the \(n\)-dimensional vector space over a finite field to the field that is balanced on every affine subspace of sufficiently large dimension. Affine extractors have been studied by \textit{A.~Gabizon} and \textit{R.~Raz} [Combinatorica 28, No.
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ON RADICAL FIELD EXTENSIONS OF PRIME EXPONENT

Journal of Algebra and Its Applications, 2002
In this paper we investigate finite separable radical extensions K ⊆ L of prime exponent via the concept of G-Cogalois extension. As particular cases we retrieve some older results in I. Kaplansky [9] and A. Baker and H. M. Stark [7] concerning such radical extensions.
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ON REDUCTION MODULO A PRIME OF FIELDS OF MODULAR FUNCTIONS

Mathematics of the USSR-Izvestiya, 1968
We study the reduction modulo p of a subring of the field of modular functions K(p∞) modulo p. We obtain a generalization of a known congruence of Weber.
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Polynomial hashing over prime order fields

Advances in Mathematics of Communications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sreyosi Bhattacharyya   +2 more
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Normal Rational Curves Over Prime Fields

Designs, Codes and Cryptography, 1997
A \(k\)-arc of \(PG(n,q)\), with \(k \geq n+1\), is set of \(k\) points of \(PG(n,q)\) such that no \(n+1\) of them belong to a hyperplane. Standard examples of \((q+1)\)-arcs of \(PG(n,q)\) are the normal rational curves. The author characterizes the normal rational curves in \(PG(n,p)\) for \(p\) prime and \(2 \leq n \leq p-2\) as the only \((p+1 ...
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On singular primes in function fields

Archiv der Mathematik, 1988
Sei F ein separabel erzeugter Funktionenkörper in einer Variablen mit Konstantenkörper K der Charakteristik p. Sei \(F'=K'\cdot F\) eine Konstantenkörpererweiterung. Ein Primdivisor von F heißt K'- regulär, wenn der ganze Abschluß seines lokalen Ringes in F' durch Konstantenkörpererweiterung hervorgeht, andernfalls heißt er K'- singulär.
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Prime tuples in function fields

2016
How many prime numbers are there? How are they distributed among other numbers? These are questions that have intrigued mathematicians since ancient times. However, many questions in this area have remained unsolved, and seemingly unsolvable in the forseeable future.
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Reduction of an Algebraic Function Field Modulo a Prime in the Constant Field

The Annals of Mathematics, 1958
\(K\) sei ein algebraischer Funktionenkörper mit dem Konstantenkörper \(k\) und \(h\) eine diskrete nicht-archimedische Bewertung von \(k\). Ist \(x\) eine über \(k\) transzendente Größe von \(K\), so werde \(h\) durch \[ \left[\left(\sum_{\nu=0}^r a_\nu x^\nu\right) \left(\sum_{\nu=0}^s b_\nu x^\nu\right)^{-1}\right] = (\max \{h(a_\nu)\}) (\max \{h(b_\
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On Complexity of Search for the Periods of Functions Given by Polynomials over a Prime Field

Journal of Applied and Industrial Mathematics, 2022
S N Selezneva
exaly  

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