Results 21 to 30 of about 3,045,703 (258)
Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A. +1 more
doaj +1 more source
Density of free modules over finite chain rings
Linear Algebra and its Applications, 2022 In this paper we focus on modules over a finite chain ring $\mathcal{R}$ of size $q^s$. We compute the density of free modules of $\mathcal{R}^n$, where we separately treat the asymptotics in $n,q$ and $s$. In particular, we focus on two cases: one where we fix the length of the module and one where we fix the rank of the module.
Eimear Byrne +3 more
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On polycyclic codes over a finite chain ring
Advances in Mathematics of Communications, 2020 Galois images of polycyclic codes over a finite chain ring $S$ and their annihilator dual are investigated. The case when a polycyclic codes is Galois-disjoint over the ring $S,$ is characterized and, the trace codes and restrictions of free polycyclic codes over $S$ are also determined givind an analogue of Delsarte theorem among trace map, any S ...
Alexandre Fotue Tabue +2 more
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Contraction of cyclic codes over finite chain rings [PDF]
Discrete Mathematics, 2018 Let $\texttt{R}$ be a commutative finite chain ring of invariants $(q,s)$ and $Γ(\texttt{R})$ the Teichmüller's set of $\texttt{R}.$ In this paper, the trace representation cyclic $\texttt{R}$-linear codes of length $\ell,$ is presented, when $\texttt{gcd}(\ell, q) = 1.$ We will show that the contractions of some cyclic $\texttt{R}$-linear codes of ...
Alexandre Fotue Tabue, Christophe Mouaha
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Unramified representations of reductive groups over finite rings [PDF]
, 2009 Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields.
Stasinski, Alexander
core +1 more source
On LCD, self dual and isodual cyclic codes over finite chain rings [PDF]
, 2022 Altres ajuts: acords transformatius de la UABIn this paper, LCD cyclic, self dual and isodual codes over finite chain rings are investigated. It was proven recently that a non-free LCD cyclic code does not exist over finite chain rings.
Fernández Córdoba, Cristina +2 more
core +1 more source
On Multiplicative Matrix Channels over Finite Chain Rings [PDF]
Journal of Communication and Information Systems, 2013 23 pages, 4 ...
Roberto Wanderley da Nóbrega +3 more
openaire +4 more sources
, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established.
Castillo-Guillén C. A. +1 more
doaj +1 more source
Carbon Trends, 2022 The quasi-particle (QP) bands of polyacene (PAC) – an infinite linear chain of fused benzene rings – are reconstructed from the QP spectra of oligoacenes (OACs) with N∈[5,30] (N is the number of fused rings) obtained using a computational methodology ...
Anna Pomogaeva +2 more
doaj +1 more source