Results 71 to 80 of about 2,863 (231)
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 \(pq\).
openaire +1 more source
Speeding Up Galois Field Arithmetic on Intel MIC Architecture [PDF]
, 2013 Kai Feng +4 more
openalex +1 more source
Computing character degrees via a Galois connection [PDF]
International Journal of Group Theory, 2015 In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
doaj
Advanced Engineering Research, 2018 Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used in a number of cryptographic problems.
V. M. Deundyak, N. S. Mogilevskaya
doaj +1 more source
The Nakano–Nishijima–Gell-Mann Formula from Discrete Galois Fields [PDF]
, 2020 Keiji Nakatsugawa +4 more
openalex +1 more source
CONSTRUCTION OF SUBSTITUTION BOX (S-BOX) BASED ON IRREDUCIBLE POLYNOMIALS ON GF(2^8)
BarekengIn the field of modern encryption algorithms, the creation of S-Box is an essential element that plays an important role in maintaining data security in various industries.
Faldy Tita +2 more
doaj +1 more source
The inverse problem of differential Galois theory over the field R(z) [PDF]
, 2008 Tobias Dyckerhoff
openalex +1 more source
Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
doaj +1 more source
Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
doaj +1 more source
DESIGNING NEW TECHNIQUE IN DIGITAL SIGNATURE BASED ON GALOIS FIELD 2n AND CHAOTIC MAPS
, 2023 M.‐R. A. HUSSEIN +3 more
openalex +1 more source