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 2018Show all

4 papers · 1 filter

cs.CR2018

On the algebraic structure of $E_{p}^{(m)}$ and applications to cryptography

Karan Khathuria, Giacomo Micheli, Violetta Weger

In this paper we show that the $Z / p^{m} Z$ -module structure of the ring $E_{p}^{(m)}$ is isomorphic to a $Z / p^{m} Z$ -submodule of the matrix ring over $…

cs.IT2018★ 39 cited

Constructions of Locally Recoverable Codes which are Optimal

Giacomo Micheli

Let $q$ be a prime power and $F_{q}$ be the finite field of size $q$ . In this paper we provide a Galois theoretical framework that allows to produce good polynomials for the…

math.NT2018★ 2 cited

Fractional jumps: complete characterisation and an explicit infinite family

Federico Amadio Guidi, Giacomo Micheli

In this paper we provide a complete characterisation of transitive fractional jumps by showing that they can only arise from transitive projective automorphisms. Furthermore, we pr…

math.NT2018

Full Classification of permutation rational functions and complete rational functions of degree three over finite fields

Andrea Ferraguti, Giacomo Micheli

Let $q$ be a prime power, $F_{q}$ be the finite field of order $q$ and $F_{q} (x)$ be the field of rational functions over $F_{q}$ . In this paper we classify all r…

On the algebraic structure of Ep(m)​ and applications to cryptography

Constructions of Locally Recoverable Codes which are Optimal

Fractional jumps: complete characterisation and an explicit infinite family

Full Classification of permutation rational functions and complete rational functions of degree three over finite fields

On the algebraic structure of $E_{p}^{(m)}$ and applications to cryptography