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pro vyhledávání: '"Qureshi, Claudio"'
In this paper we give an explicit and pure combinatorial description of the $m$-coloured quivers that appears in the $m$-coloured mutation class of a quiver of type $\mathbb{A}_n$. The $m$-coloured mutation defined by Buan and Thomas in \cite{BT} gen
Externí odkaz:
http://arxiv.org/abs/2306.06216
In this paper we consider the closest vector problem (CVP) for lattices $\Lambda \subseteq \mathbb{Z}^n$ given by a generator matrix $A\in \mathcal{M}_{n\times n}(\mathbb{Z})$. Let $b>0$ be the maximum of the absolute values of the entries of the mat
Externí odkaz:
http://arxiv.org/abs/2304.03616
In this paper we consider codes in $\mathbb{F}_q^{s\times r}$ with packing radius $R$ regarding the NRT-metric (i.e. when the underlying poset is a disjoint union of chains with the same length) and we establish necessary condition on the parameters
Externí odkaz:
http://arxiv.org/abs/2302.11738
Autor:
Qureshi, Claudio, Reis, Lucas
In this paper we study the description of the functional graphs associated with the power maps over finite groups. We present a structural result which describes the isomorphism class of these graphs for abelian groups and also for flower groups, whi
Externí odkaz:
http://arxiv.org/abs/2107.00584
Akademický článek
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Autor:
Qureshi, Claudio, Reis, Lucas
Let $\mathfrak D$ be a residually finite Dedekind domain, $a\in \mathfrak D$ be a nonzero element and $\mathfrak n$ be a nonzero ideal of $\mathfrak D$. In this paper we describe the dynamics of the map $x\mapsto ax$ over the quotient ring $\mathfrak
Externí odkaz:
http://arxiv.org/abs/1901.01088
Autor:
Qureshi, Claudio
The Golomb-Welch conjecture (1968) states that there are no $e$-perfect Lee codes in $\mathbb{Z}^n$ for $n\geq 3$ and $e\geq 2$. This conjecture remains open even for linear codes. A recent result of Zhang and Ge establishes the non-existence of line
Externí odkaz:
http://arxiv.org/abs/1805.10409
Autor:
Qureshi, Claudio
The Golomb-Welch conjecture states that there are no perfect $e$-error-correcting Lee codes in $\mathbb{Z}^n$ ($PL(n,e)$-codes) whenever $n\geq 3$ and $e\geq 2$. A special case of this conjecture is when $e=2$. In a recent paper of A. Campello, S. Co
Externí odkaz:
http://arxiv.org/abs/1804.09290
Autor:
Qureshi, Claudio, Panario, Daniel
We completely describe the functional graph associated to iterations of Chebyshev polynomials over finite fields. Then, we use our structural results to obtain estimates for the average rho length, average number of connected components and the expec
Externí odkaz:
http://arxiv.org/abs/1803.06539