Results 1 to 10 of about 15,462 (113)

An Efficient Audio Encryption Scheme Based on Finite Fields

open access: yesIEEE Access, 2021
Finite fields are well-studied algebraic structures with enormous efficient properties which have applications in the fields of cryptology and coding theory.
Dawood Shah   +5 more
doaj   +1 more source

Generation modulo the action of a permutation group [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
Originally motivated by algebraic invariant theory, we present an algorithm to enumerate integer vectors modulo the action of a permutation group. This problem generalizes the generation of unlabeled graph up to an isomorphism.
Nicolas Borie
doaj   +1 more source

Permutations of Massive Vacua [PDF]

open access: yes, 2017
We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N=1 supersymmetry that arises upon tracing loops in the space of couplings.
Bourget, Antoine, Troost, Jan
core   +4 more sources

The Galois group of a stable homotopy theory [PDF]

open access: yes, 2016
To a "stable homotopy theory" (a presentable, symmetric monoidal stable $\infty$-category), we naturally associate a category of finite \'etale algebra objects and, using Grothendieck's categorical machine, a profinite group that we call the Galois group.
Mathew, Akhil
core   +1 more source

Complexity calculation of coding and information security system based on threshold secret sharing scheme used for electronic voting

open access: yesAdvanced Engineering Research, 2017
Introduction . One of the tasks arising in cryptography is to ensure the safe and honest conduct of e-voting. This procedure provides that voters submit their votes electronically - for example, through electronic terminals.
Larisa V. Cherkesova   +3 more
doaj   +1 more source

Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation [PDF]

open access: yes, 2014
We propose a new method to compute the unipotent radical $R_u(H)$ of the differential Galois group $H$ associated to a parameterized second-order homogeneous linear differential equation of the form \[\tfrac{\partial^2}{\partial x^2}Y-qY=0,\] where $q ...
Arreche, Carlos E.
core   +1 more source

The Projective Character Tables of a Solvable Group 26:6×2

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2019
The Chevalley–Dickson simple group G24 of Lie type G2 over the Galois field GF4 and of order 251596800=212.33.52.7.13 has a class of maximal subgroups of the form 24+6:A5×3, where 24+6 is a special 2-group with center Z24+6=24. Since 24 is normal in 24+6:
Abraham Love Prins
doaj   +1 more source

Primes in short intervals on curves over finite fields [PDF]

open access: yes, 2019
We prove an analogue of the Prime Number Theorem for short intervals on a smooth projective geometrically irreducible curve of arbitrary genus over a finite field.
Bank, E., Foster, T.
core   +2 more sources

An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups

open access: yes, 2020
We prove a new effective Chebotarev density theorem for Galois extensions $L/\mathbb{Q}$ that allows one to count small primes (even as small as an arbitrarily small power of the discriminant of $L$); this theorem holds for the Galois closures of "almost
Pierce, Lillian B.   +2 more
core   +1 more source

Characterizing Triviality of the Exponent Lattice of A Polynomial through Galois and Galois-Like Groups

open access: yes, 2020
The problem of computing \emph{the exponent lattice} which consists of all the multiplicative relations between the roots of a univariate polynomial has drawn much attention in the field of computer algebra.
AJ van der Poorten   +18 more
core   +1 more source

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