4 citations · 4 across the 7 of their papers we have counts for
7 papers
Codes from -invariant polynomials
Giacomo Micheli, Vincenzo Pallozzi Lavorante, Phillip Waitkevich
Let be a prime power. This paper provides a new class of linear codes that arises from the action of the alternating group on combined with the ide…
Square patterns in dynamical orbits
Vefa Goksel, Giacomo Micheli
Let be an odd prime power. Let be a polynomial having degree at least , , and denote by the -th iteration of . Let …
Number Theoretical Locally Recoverable Codes
Andrea Ferraguti, Dorian Goldfeld, Giacomo Micheli
In this paper we give constructions for infinite sequences of finite non-linear locally recoverable codes over a product o…
On complete -arcs
Luca Bastioni, Giacomo Micheli
Let be a positive integer and be a prime power. For large finite base fields , we show that any curve can be used to produce a complete -arc as long as some…
Differential biases, -differential uniformity, and their relation to differential attacks
Daniele Bartoli, Lukas Kölsch, Giacomo Micheli
Differential cryptanalysis famously uses statistical biases in the propagation of differences in a block cipher to attack the cipher. In this paper, we investigate the existence of…
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…