Claudio M. Qureshi

collaborators

4 papers

math.NT2019

Dynamics of the $a$ -map over residually finite Dedekind Domains and applications

Claudio Qureshi, Lucas Reis

Let $D$ be a residually finite Dedekind domain, $a \in D$ be a nonzero element and $n$ be a nonzero ideal of $D$ . In this paper we describe t…

cs.IT2018

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 $e$ -perfect Lee codes in $Z^{n}$ for $n \geq 3$ and $e \geq 2$ . This conjecture remains open even for linear codes.…

cs.IT2018

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 $e$ -error-correcting Lee codes in $Z^{n}$ ( $P L (n, e)$ -codes) whenever $n \geq 3$ and $e \geq 2$ . A special case of…

cs.DM2018

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…

Dynamics of the a-map over residually finite Dedekind Domains and applications

On the non-existence of linear perfect Lee codes: The Zhang-Ge condition and a new polynomial criterion

The set of dimensions for which there are no linear perfect 2-error-correcting Lee codes has positive density

The Graph Structure of Chebyshev Polynomials over Finite Fields and Applications

Dynamics of the $a$ -map over residually finite Dedekind Domains and applications