2 citations · 3 across the 10 of their papers we have counts for
13 papers
On a class of combinatorial group invariants
Arthur Fernandes, Claudio Qureshi, Lucas Reis +1
In this paper, we explore group invariants arising from combinatorial structures associated with finite groups, including the functional graphs of power maps and the well-studied p…
The coloured mutation class of quivers
Viviana Gubitosi, Claudio Qureshi, Rafael Parra
In this paper we give an explicit and pure combinatorial description of the -coloured quivers that appears in the -coloured mutation class of a quiver of type .…
Qubo model for the Closest Vector Problem
Eduardo Canale, Claudio Qureshi, Alfredo Viola
In this paper we consider the closest vector problem (CVP) for lattices given by a generator matrix . Let …
On the non-existence of perfect codes in the Niederreiter-Rosenbloom-Tsfasman metric
Viviana Gubitosi, Aldo Portela, Claudio Qureshi
In this paper we consider codes in with packing radius regarding the NRT-metric (i.e. when the underlying poset is a disjoint union of chains with th…
On the functional graph of the power map over finite groups
Claudio Qureshi, Lucas Reis
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 cl…
Dynamics of the -map over residually finite Dedekind Domains and applications
Claudio Qureshi, Lucas Reis
Let be a residually finite Dedekind domain, be a nonzero element and be a nonzero ideal of . In this paper we describe t…
On the non-existence of linear perfect Lee codes: The Zhang-Ge condition and a new polynomial criterion
Claudio Qureshi
The Golomb-Welch conjecture (1968) states that there are no -perfect Lee codes in for and . This conjecture remains open even for linear codes.…
The set of dimensions for which there are no linear perfect 2-error-correcting Lee codes has positive density
Claudio Qureshi
The Golomb-Welch conjecture states that there are no perfect -error-correcting Lee codes in (-codes) whenever and . A special case of…
The Graph Structure of Chebyshev Polynomials over Finite Fields and Applications
Claudio Qureshi, Daniel Panario
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 av…
Periods of iterations of functions with restricted preimage sizes
Rodrigo S. V. Martins, Daniel Panario, Claudio Qureshi +1
We consider random mappings on n = kr nodes with preimage sizes restricted to a set of the form {0,k}, where k = k(r) is greater than 1. We prove that T, the least common multiple…
On Equivalence of Binary Asymmetric Channels regarding the Maximum Likelihood Decoding
Claudio Qureshi, Sueli I. R. Costa, Christiane B. Rodrigues +1
We study the problem of characterizing when two memoryless binary asymmetric channels, described by their transition probabilities and , are equivalent from the po…
Matched Metrics to the Binary Asymmetric Channels
Claudio M. Qureshi
In this paper we establish some criteria to decide when a discrete memoryless channel admits a metric in such a way that the maximum likelihood decoding coincides with the nearest…
On Cube Tilings of Tori and Classification of Perfect Codes in the Maximum Metric
Claudio Qureshi, Sueli I. R. Costa
We describe odd-length-cube tilings of the n-dimensional q-ary torus what includes q-periodic integer lattice tilings of R^n. In the language of coding theory these tilings corresp…