Results 21 to 30 of about 36,999 (191)
Implementation of Galois Field for Application in Wireless Communication Channels
MATEC Web of Conferences, 2018 This paper discusses the implementation of Galois Field based codes for application in wireless communication channel. It discusses the use of Galois Fields outlining the basic performance of a digital communication system in terms of BER curves.
Sarma Dikshita +3 more
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Efficiency of sequence synthesis methods with the «not more than one coincidence» property
Tekhnologiya i Konstruirovanie v Elektronnoi Apparature, 2016 The author presents an expression for determining the minimum possible length of binary sequences with "not more than one coincidence" property. Obtained low bound length value allows quantitatively estimating efficiency of any known synthesis methods ...
A. I. Nevrev, O. N. Galchenkov
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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
Forum of Mathematics, Sigma, 2016 Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
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On finite arithmetic groups [PDF]
International Journal of Group Theory, 2013 Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj
Transactions of the London Mathematical Society, 2019 Recently, there has been much interest in studying the torsion subgroups of elliptic curves base‐extended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when ...
Harris B. Daniels +2 more
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Designing a Block Cipher in Galois Extension Fields for IoT Security
IoT, 2021 This paper focuses on a block cipher adaptation of the Galois Extension Fields (GEF) combination technique for PRNGs and targets application in the Internet of Things (IoT) space, an area where the combination technique was concluded as a quality stream ...
Kiernan George, Alan J. Michaels
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Abstract algebra, projective geometry and time encoding of quantum information
, 2005 Algebraic geometrical concepts are playing an increasing role in quantum applications such as coding, cryptography, tomography and computing. We point out here the prominent role played by Galois fields viewed as cyclotomic extensions of the integers ...
Planat, Michel R. P., Saniga, Metod
core +4 more sources
, 2017 In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the real difference Galois group and prove a Galois correspondence.Comment ...
Dreyfus, Thomas
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Computing Bonds Between Formal Contexts
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source
On Galois fields of certain types [PDF]
Transactions of the American Mathematical Society, 1930 Several writers have considered the relations between the c-functions of an algebraic field and some of its subfields. Thus Artint has, in a particular case, considered the question of the divisibility of the c-function of a field by that of a subfield. In another paperl he has shown how all possible c-relations can be found.
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