Claudio M. Qureshi

activity

20162026

most citedOn Cube Tilings of Tori and Classification of Perfect Codes in the Maximum Metric

2 citations · 3 across the 10 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

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…