G. Micheli

activity

20132023

most citedConstructions of Locally Recoverable Codes which are Optimal

39 citations · 136 across the 26 of their papers we have counts for

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Showing 2020Show all

4 papers · 1 filter

math.CO2020

$r$ -fat linearized polynomials over finite fields

Daniele Bartoli, Giacomo Micheli, Giovanni Zini +1

In this paper we prove that the property of being scattered for a $F_{q}$ -linearized polynomial of small $q$ -degree over a finite field $F_{q^{n}}$ is unstable, in th…

math.NT2020

Local to global principle for expected values

Giacomo Micheli, Severin Schraven, Violetta Weger

This paper constructs a new local to global principle for expected values over free $Z$ -modules of finite rank. In our strategy we use the same philosophy as Ekedhal's Sie…

math.CO2020

Algebraic constructions of complete $m$ -arcs

Daniele Bartoli, Giacomo Micheli

Let $m$ be a positive integer, $q$ be a prime power, and $PG (2, q)$ be the projective plane over the finite field $F_{q}$ . Finding complete $m$ -arcs in $\mathrm{PG}(2…

math.NT2020

Exceptional scatteredness in prime degree

Andrea Ferraguti, Giacomo Micheli

Let $q$ be an odd prime power and $n$ be a positive integer. Let $ℓ \in F_{q^{n}} [x]$ be a $q$ -linearised $t$ -scattered polynomial of linearized degree $r$ . Let $d=\max\{t,…

r-fat linearized polynomials over finite fields

Local to global principle for expected values

Algebraic constructions of complete m-arcs

Exceptional scatteredness in prime degree

$r$ -fat linearized polynomials over finite fields

Algebraic constructions of complete $m$ -arcs