Results 61 to 70 of about 464 (180)

A new DNA-based model for finite field arithmetic

Heliyon, 2019
A Galois field GF(pn) with p≥2 a prime number and n≥1 is a mathematical structure widely used in Cryptography and Error Correcting Codes Theory. In this paper, we propose a novel DNA-based model for arithmetic over GF(pn).
Iván Jirón, Susana Soto, Sabrina Marín, Mauricio Acosta, Ismael Soto   +4 more
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TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY

Forum of Mathematics, Sigma, 2016
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
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Format-preserving encryption algorithm based on dynamic galois field

Dianxin kexue
Format-preserving encryption (FPE) is characterized by its ability to maintain data format and length post-encryption while adhering to format constraints, rendering it highly applicable for data anonymization purposes. Current FPE schemes are faced with
YUAN Heqing, SHEN Jinshang, WANG Qiang
doaj  

On local Galois deformation rings: generalised tori

Forum of Mathematics, Sigma
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
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CONVEYOR ANALOG OF MATRIX DIFFIE-HELLMAN PROOTOKOL

Ìнформаційні технології в освіті, 2013
A variant of the construction of the matrix analog of Diffie-Hellman based on pipelined binary update secret element used to generate the secret key encryption legalized subscribers open network.
A.J. Beletsky, А.А. Beletsky
doaj  

LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD

Ural Mathematical Journal, 2019
The paper deals with some aspects of general local fields and tries to elucidate some obscure facts. Indeed, several questions remain open, in this domain of research, and literature is getting scarce.
Akram Lbekkouri
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PRIMITIVE MATRICES AND GENERATORS OF PSEUDO RANDOM SEQUENCES OF GALOIS

Ìнформаційні технології в освіті, 2014
In theory and practice of information cryptographic protection one of the key problems is the forming a binary pseudo-random sequences (PRS) with a maximum length with acceptable statistical characteristics.
A. Beletsky, E. Beletsky
doaj  

Algorithm for Obtaining Complete Irreducible Polynomials over Given Galois Field for New Method of Digital Monitoring of Information Space

Computers
Irreducible polynomials are widely used in modern cryptography; however, algorithms for finding such polynomials remain quite complex and require significant computational resources.
Dina Shaltykova, Aliya Massalimova, Yelizaveta Vitulyova, Ibragim Suleimenov   +3 more
doaj   +1 more source

Quasifinite fields of prescribed characteristic and Diophantine dimension

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let ℙ be the set of prime numbers, ℙ the union ℙ ∪ {0}, and for any field E, let char(E) be its characteristic, ddim(E) the Diophantine dimension of E, 𝒢E the absolute Galois group of E, and cd(𝒢E) the Galois cohomological dimension 𝒢E.
Chipchakov Ivan D., Paunov Boyan B.
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Ricerche di matematica con Giuseppina Varone

Science & Philosophy, 2013
In memory of the researcher Pina Varone, I present the research carried out together for over 20 years. Some relevant issues and applicants were: the connection between teaching and research, and as an in-depth teaching emerge new research topics; the ...
Antonio Maturo
doaj