Results 71 to 80 of about 464 (180)

SYNTHESIS OF PRIMITIVE MATRICES OVER A FINITE GALOIS FIELDS AND THEIR APPLICATIONS

Ìнформаційні технології в освіті, 2012
The algorithms for constructing generalized primitive matrices Galois and Fibonacci arbitrary order , the items belong to the prime field , . The examples of application of these matrices in the problems of the synthesis of generalized linear shift ...
A.J. Beletsky, А.А. Beletsky
doaj  

Empirical validation of the use of projective techniques in psychological testing using Galois fields

Frontiers in Applied Mathematics and Statistics
It is shown that the problem of the adequacy of psychological testing methods, which are varieties of “projective techniques”, is far from being universally recognized.
Ibragim Suleimenov, Mariya Kostsova, Anastasiya Grishina, Dinara Matrassulova, Yelizaveta Vitulyova, Yelizaveta Vitulyova   +5 more
doaj   +1 more source

PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024)

Системный анализ и прикладная информатика, 2016
The full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024}
A. V. Sokolov
doaj  

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

Evaluation and analysis of the computation cost of linear network coding

Tongxin xuebao, 2011
The complexity of algebraic operation methods on Galois fields was analyzed and the operation mechanism of linear network coding was anatomized.Based on deterministic network coding data transmission and random network coding data transmission for single-
PU Bao-xing1, WANG Wei-ping2
doaj   +2 more sources

SYNTHESIS AND ANALYSIS OF REED-SOLOMON CODES IN ISOMORPHIC SPACE OF IMAGES

Ìнформаційні технології в освіті, 2013
A training variant of Reed-Solomon codes, which greatly simplifies the process of synthesis of codewords and detection-fixes for corrupted data files. The algorithm is based on the transfer of variables and operations, in which the synthesis and analysis
A.J. Beletsky, А.А. Beletsky, O.I. Volyvach, M.A. Yakymchuk   +3 more
doaj  

A New COVID-19 Detection Method Based on CSK/QAM Visible Light Communication and Machine Learning. [PDF]

Sensors (Basel), 2023
Soto I, Zamorano-Illanes R, Becerra R, Palacios Játiva P, Azurdia-Meza CA, Alavia W, García V, Ijaz M, Zabala-Blanco D.   +8 more
europepmc   +1 more source

Seminuclear Extensions of Galois Fields

American Journal of Mathematics, 1960
Hughes, D. R., Kleinfeld, Erwin
openaire   +2 more sources

Norm-Euclidean Galois fields

, 2010
Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean. In the case of $\ell=2$ all such norm-Euclidean fields have been identified, but for $\ell\neq 2$, little else is known. We give the first upper bounds on the discriminants of such fields when
openaire   +2 more sources

RGB image encryption using SPN with a novel block cipher over simple graph adjacency matrices and Galois fields. [PDF]

Sci Rep
Sajjad M, Alqwaifly NA.
europepmc   +1 more source