Results 251 to 260 of about 3,398,533 (269)

On Isodual Cyclic Codes over Finite Chain Rings

2017
In this work, cyclic isodual codes over finite chain rings are investigated. These codes are monomially equivalent to their duals. Existence results for cyclic isodual codes are given based on the generator polynomials, the field characteristic, and the length. Several constructions of isodual and self-dual codes are also presented.
Aicha Batoul, Kenza Guenda, T. Aaron Gulliver, Nuh Aydin   +3 more
openaire   +1 more source

Remarks on finite pseudo-chain rings

Ricerche di Matematica
The authors of this paper under review define the pseudo-chain rings, which is a slight generalization of pseudo-valuation rings defined in [\textit{A. Badawi} et al., Lect. Notes Pure Appl. Math. 185, 57--67 (1997; Zbl 0880.13011)], which is in turn a generalization of pseudo-valuation domains defined by \textit{J. R. Hedstrom} and \textit{E.
Boran Kim, Hyun Seung Choi
openaire   +2 more sources

Matrix-product codes over finite chain rings

Applicable Algebra in Engineering, Communication and Computing, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Non-isomorphic pure finite chain rings

Afrika Matematika, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tabue, Alexandre Fotue, Mouaha, Christophe   +1 more
openaire   +1 more source

LIFTED CODES OVER FINITE CHAIN RINGS

Mathematical Journal of Okayama University, 2011
In this paper, we study lifted codes over finite chain rings. We use γ-adic codes over a formal power series ring to study codes over finite chain rings.
Dougherty, Steven T., Liu, Hongwei, Park, Young Ho   +2 more
openaire   +2 more sources

Expanders on Matrices over a Finite Chain Ring, II

SIAM Journal on Discrete Mathematics, 2023
Hieu T Ngo
exaly  

Two families of few-weight codes over a finite chain ring

Discrete Mathematics, 2023
Xiwang Cao, Li Qian, Sihem Mesnager
exaly  

Recapturing the Structure of Group of Units of Any Finite Commutative Chain Ring

Symmetry, 2021
Yousef Alkhamees, Sami Alabiad
exaly  

Properties of finite unrefinable chains of ring topologies for nilpotent rings

2018
Below \(\mathfrak M\) denotes the lattice of all ring topologies on a ring \(R\) and \(\mathfrak N\) the sublattice of \(\mathfrak M\) of ring topologies having a fundamental system of neighborhoods of zero consisting of subgroups of the additive group \(R(+)\) of \(R\). It is said that an element \(b\) of a lattice \((\mathfrak L,
Arnautov, V. I., Ermakova, G. N.
openaire   +1 more source

Designing S-boxes triplet over a finite chain ring and its application in RGB image encryption

Multimedia Tools and Applications, 2020
Tariq Shāh
exaly