2 papers
cs.IT2022
Optimal locally recoverable codes with hierarchy from nested -adic expansions
Austin Dukes, Giacomo Micheli, Vincenzo Pallozzi Lavorante
In this paper we construct new optimal hierarchical locally recoverable codes. Our construction is based on a combination of the ideas of \cite{ballentine2019codes,sasidharan2015co…
math.CO2021
New hemisystems of the Hermitian surface
Vincenzo Pallozzi Lavorante, Valentino Smaldore
Finding Hemisystems is a challenging problem and just few examples arising from the Hermitian surface are known. A recent method to obtain Hemisystems is based on using maximal cur…