Results 71 to 80 of about 141 (94)
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Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes

Cryptography and Communications, 2022
An important class of codes is quasi-twisted (QT) codes over fnite felds. They include cyclic codes, quasi-cyclic codes and constacyclic codes as special subclasses. These codes have been studied in detail recently. For example, there are structure results using Chinese Remainder Theorem, as in the case of quasi-cyclic codes over fnite felds. Self-dual
Şeyda Köse, Ferruh Özbudak
openaire   +2 more sources

Functions and polynomials over finite commutative rings

Aequationes Mathematicae, 2001
Let \(R\) be a finite commutative ring. The authors derive an upper bound for the total number of functions from \(R\) to itself which can be represented by polynomials over \(R\). This extends earlier results for Galois rings of \textit{J. V. Brawley} and \textit{G. L. Mullen} [J. Number Theory 41, No. 2, 156--166 (1992; Zbl 0759.11043)].
Maxson CJ, Van Der Merwe AB
openaire   +1 more source

On skew polynomials over Ikeda-Nakayama rings

Communications in Algebra, 2021
Abdollah Alhevaz
exaly  

Generalized Adler--Moser Polynomials and Multiple Vortex Rings for the Gross--Pitaevskii Equation

SIAM Journal on Mathematical Analysis, 2021
Yong Liu, Juncheng Wei
exaly  

Exponents of skew polynomials over periodic rings

Communications in Algebra, 2021
André Leroy
exaly  

Gold-Catalyzed Synthesis of Small Rings

Chemical Reviews, 2021
Mauro Mato   +2 more
exaly  

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