Results 61 to 70 of about 2,481 (228)
, 2010 In this paper we study the notion of Smarandache-Galois fields and homomorphism and the Smarandache quotient ring. Galois fields are nothing but fields having only a finite number of elements. We also propose some interesting problems.
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Format-preserving encryption algorithm based on dynamic galois field
Dianxin kexueFormat-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
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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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On the realization of subgroups of $PGL(2,F)$, and their automorphism\n groups, as Galois groups over function fields [PDF]
, 2021 Rod Gow, G. E. McGuire
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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
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On local Galois deformation rings: generalised tori
Forum of Mathematics, SigmaWe 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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Speeding Up Galois Field Arithmetic on Intel MIC Architecture [PDF]
, 2013 Kai Feng +4 more
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Hopf–Galois structures on Galois field extensions of degree pq
Journal of Pure and Applied Algebra, 2004 Let \(L/K\) be a Galois extension of fields with Galois group \(G\) of order \(pq\) where \(p,q\) are primes with \(p\equiv 1 \pmod q\). The author determines all the Hopf Galois structures on \(L/K\). If \(H\) is a \(K\)-Hopf algebra acting on \(L\), then \(L\otimes H\cong KN\) where \(N\) is a group of order \(pq\).
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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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The Nakano–Nishijima–Gell-Mann Formula from Discrete Galois Fields [PDF]
, 2020 Keiji Nakatsugawa +4 more
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