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

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019

The Algebraic Theory of Fractional Jumps

Dorian Goldfeld, Giacomo Micheli

In this paper we start by briefly surveying the theory of Fractional Jumps and transitive projective maps. Then, we give an efficient construction of a fractional jump of a project…

math.NT2019

An equivariant isomorphism theorem for mod $p$ reductions of arboreal Galois representations

Andrea Ferraguti, Giacomo Micheli

Let $ϕ$ be a quadratic, monic polynomial with coefficients in $O_{F, D} [t]$ , where $O_{F, D}$ is a localization of a number ring $O_{F}$ . In this paper, we f…

cs.IT2019

New Lower Bounds for Permutation Codes using Linear Block Codes

Giacomo Micheli, Alessandro Neri

In this paper we prove new lower bounds for the maximal size of permutation codes by connecting the theory of permutation codes with the theory of linear block codes. More specific…

The Algebraic Theory of Fractional Jumps

An equivariant isomorphism theorem for mod p reductions of arboreal Galois representations

New Lower Bounds for Permutation Codes using Linear Block Codes

An equivariant isomorphism theorem for mod $p$ reductions of arboreal Galois representations