Results 201 to 210 of about 30,150 (231)

Galois and Quasi-Galois Rings: Structure and Properties

2002
In this chapter we firstly want to analyze the structure of Galois rings which are, in our terminology, Galois extensions of local rings of the form \( {Z_p}n \), where p is a prime and n a positive integer. The importance of such rings is mainly due to the following facts: 1.
Gilberto Bini, Flaminio Flamini
openaire   +1 more source

COORDINATE SETS OF GENERALIZED GALOIS RINGS

Journal of Algebra and Its Applications, 2004
A Generalized Galois Ring (GGR) S is a finite nonassociative ring with identity of characteristic pn, for some prime number p, such that its top-factor [Formula: see text] is a semifield. It is well-known that if S is an associative Galois Ring (GR), then it contains a multiplicatively closed subset isomorphic to [Formula: see text], the so-called ...
González, S., Martínez, C., Rúa, I. F., Markov, V. T., Nechaev, A. A.   +4 more
openaire   +2 more sources

On The Centralizer Of A Galois Ring.

1963
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185929/2/6400851 ...
openaire   +2 more sources

Cyclic Codes over Galois Rings

2016
Let R be a Galois ring of characteristic $$p^a$$, where p is a prime and a is a natural number. In this paper cyclic codes of arbitrary length n over R have been studied. The generators for such codes in terms of minimal degree polynomials of certain subsets of codes have been obtained.
Jasbir Kaur, Sucheta Dutt, Ranjeet Sehmi
openaire   +1 more source

On the symbol-pair distance of some classes of repeated-root constacyclic codes over Galois ring

Applicable Algebra in Engineering, Communications and Computing, 2021
Hai Q Dinh, Narendra Kumar, Indivar Gupta   +2 more
exaly  

Substitution Box on Maximal Cyclic Subgroup of Units of a Galois Ring

Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2013
Tariq Shah, Iqtadar Hussain
exaly  

FPGA Implementation of a New PUF Based on Galois Ring Oscillators

2021
M Garcia-Bosque, G Díez-Señorans, C Sánchez-Azqueta   +2 more
exaly  

Schur rings over a Galois ring of odd characteristic

Journal of Combinatorial Theory - Series A, 2010
Sergei Evdokimov, Ilia Ponomarenko
exaly  

GALOIS RINGS

1997
openaire   +1 more source

Cyclic and negacyclic codes over the Galois ring GR(p2,m)

Discrete Applied Mathematics, 2009
Reza Sobhani, M Esmaeili
exaly