Results 141 to 150 of about 214 (172)

The Generalized Center Galois Extensions of Rings

Southeast Asian Bulletin of Mathematics, 2001
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Szeto, George, Xue, Lianyong
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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
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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
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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 ...
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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
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Galois Rings and Pseudo-random Sequences

2007
We survey our constructions of pseudo random sequences (binary, Z8, Z2l,...) from Galois rings. Techniques include a local Weil bound for character sums, and several kinds of Fourier transform. Applications range from cryptography (boolean functions, key generation), to communications (multi-code CDMA), to signal processing (PAPR reduction).
Patrick Solé, Dmitrii V. Zinoviev
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LCD codes over Galois rings

Computational and Applied Mathematics
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F. Rebaine, Kenza Guenda, T. Aaron Gulliver   +2 more
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Weight distribution of double cyclic codes over Galois rings

Designs, Codes, and Cryptography, 2021
Jian Gao, Fang-Wei Fu, Fu Fang-Wei
exaly  

Galois correspondence on linear codes over finite chain rings

Discrete Mathematics, 2020
Alexandre Fotue Tabue, Edgar Martínez-Moro   +1 more
exaly  

Character sums over Galois rings and primitive polynomials over finite fields

Finite Fields and Their Applications, 2004
Han Wenbao
exaly