Results 91 to 100 of about 40,145 (217)

Characterization of Group of Invertible Elements of Six Index Zero Completely Primary Finite Rings of Characteristic p

open access: yesWasit Journal for Pure Sciences
The study of finite extension of Galois rings in the recent past have given rise to commutative completely primary finite rings that have attracted much attention as they have yielded important results towards classification of finite rings into well ...
Hezron Were   +3 more
doaj   +1 more source

An algorithm for the construction of substitution box for block ciphers based on projective general linear group

open access: yesAIP Advances, 2017
The aim of this work is to synthesize 8*8 substitution boxes (S-boxes) for block ciphers. The confusion creating potential of an S-box depends on its construction technique.
Anas Altaleb   +3 more
doaj   +1 more source

Galois Correspondence Theorem for Picard-Vessiot Extensions [PDF]

open access: bronze, 2015
Teresa Crespo   +2 more
openalex   +1 more source

Multiplicative Groups of Galois Extensions

open access: yesJournal of Algebra, 1994
The author obtains the following interesting results: Theorem. Let \(K\) be a Galois extension of \(k\) with Galois group \(G\) and suppose that \(G\) contains two dihedral subgroups \(D_ p\) and \(D_ q\) for distinct odd primes \(p\), \(q\). Then if \(F_ 1,\dots, F_ N\) are the maximal proper subfields of \(K/k\) then \(K^ \times= F_ 1^ \times \dots ...
openaire   +1 more source

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution

open access: yesForum of Mathematics, Sigma
Let ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk   +2 more
doaj   +1 more source

Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]

open access: yesSci Rep, 2023
Suleimenov IE   +3 more
europepmc   +1 more source

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