Results 251 to 260 of about 1,293,597 (281)

Montgomery Algorithm over a Prime Field

Chinese Journal of Electronics, 2019
New formulae for point addition and point doubling on elliptic curves over prime fields are presented. Based on these formulae, an improved Montgomery algorithm is proposed. The theoretical analysis indicates that it is about 13.4% faster than Brier and Joye's Montgomery algorithm.
Wei Yu, Kunpeng Wang, Bao Li, Song Tian
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NORM-EUCLIDEAN CYCLIC FIELDS OF PRIME DEGREE

International Journal of Number Theory, 2012
Let K be a cyclic number field of prime degree ℓ. Heilbronn showed that for a given ℓ there are only finitely many such fields that are norm-Euclidean. In the case of ℓ = 2 all such norm-Euclidean fields have been identified, but for ℓ ≠ 2, little else is known. We give the first upper bounds on the discriminants of such fields when ℓ > 2.
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Large supersaturated designs over prime fields

Journal of Statistics and Management Systems, 2005
Abstract In the recent literature, multi-level supersaturated designs (SSDs) have been extensively developed and studied. Two construction methods for optimal multi-level SSDs are used and the new 5-level and 7-level designs arising from these methods are compared using several criteria.
C. Koukouvinos, S. Stylianou
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A New Characterization of Finite Prime Fields

Canadian Mathematical Bulletin, 1968
Let N ≡ <N, +,.> be a (right) near-ring with 1 (we say N is a unitary near-ring)[1] and recall that a near-field is a unitary near-ring in which <N - {0}, . > is a multiplicative group. In [2], Beidelman characterizes near-fields as those unitary near-rings without non-trivial N-subgroups. We show that in the finite case this absence of non-
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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 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 numbers in quadratic fields

CWI Quarterly, 1994
The author gives a method, similar to the sieve of Eratosthenes, for finding the numbers less than a given bound that are norms of primes in a given quadratic field with unique factorization. There are given an extensive background of number theory, and a Pascal program to implement the method and plot the primes \(x+ \omega y\) (where 1, \(\omega\) is
openaire   +2 more sources

Radiotheranostics in oncology: Making precision medicine possible

Ca-A Cancer Journal for Clinicians, 2023
Eric Aboagye
exaly  

Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges

Progress in Materials Science, 2022
Damien Tourret, Javier LLorca
exaly  

Near-field radiative heat transfer in many-body systems

Reviews of Modern Physics, 2021
Svend Age Biehs, Riccardo Messina, Juan Carlos Cuevas   +2 more
exaly