Zobrazeno 1 - 10
of 2 354
pro vyhledávání: '"Moro E"'
Autor:
Álvarez-Barrientos, I., Borges-Quintana, M., Trenard, M. A. Borges, Moro, E. Martínez, Ornella, J. A.
In this work, two algorithms are developed related to lattice codes. In the first one, an extended complete Gr\"obner basis is computed for the label code of a lattice. This basis supports all term orderings associated with a total degree order offer
Externí odkaz:
http://arxiv.org/abs/2302.10878
In this work we construct sequences of locally recoverable AG codes arising from a tower of function fields and give bound for the parameters of the obtained codes. In a particular case of a tower over $\mathbb{F}_{q^2}$ for any odd $q$, defined by G
Externí odkaz:
http://arxiv.org/abs/2209.07136
In this work, we present a standard model for Galois rings based on the standard model of their residual fields, that is, a sequence of Galois rings starting with ${\mathbb Z}_{p^r} that coves all the Galois rings with that characteristic ring and su
Externí odkaz:
http://arxiv.org/abs/2109.07938
Publikováno v:
In Finite Fields and Their Applications February 2024 94
In this work, we study the structure of multivariable modular codes over finite chain rings when the ambient space is a principal ideal ring. We also provide some applications to additive modular codes over the finite field $\mathbb{F}_4$.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1709.05466
We consider codes defined over an affine algebra $\mathcal A=R[X_1,\dots,X_r]/\left\langle t_1(X_1),\dots,t_r(X_r)\right\rangle$, where $t_i(X_i)$ is a monic univariate polynomial over a finite commutative chain ring $R$. Namely, we study the $\mathc
Externí odkaz:
http://arxiv.org/abs/1709.05464
In this work we study a weak order ideal associated with the coset leaders of a non-binary linear code. This set allows the incrementally computation of the coset leaders and the definitions of the set of leader codewords. This set of codewords has s
Externí odkaz:
http://arxiv.org/abs/1705.06609
Given $\texttt{S}|\texttt{R}$ a finite Galois extension of finite chain rings and $\mathcal{B}$ an $\texttt{S}$-linear code we define two Galois operators, the closure operator and the interior operator. We proof that a linear code is Galois invarian
Externí odkaz:
http://arxiv.org/abs/1602.01242
The spontaneous formation of droplets via dewetting of a thin fluid film from a solid substrate allows for materials nanostructuring, under appropriate experimental control. While thermal fluctuations are expected to play a role in this process, thei
Externí odkaz:
http://arxiv.org/abs/1505.05478
Publikováno v:
In Pratique Neurologique - FMC April 2020 11(2):122-128