44 citations · 57 across the 28 of their papers we have counts for
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math.CO2020
Three Combinatorial Perspectives on Minimal Codes
Gianira N. Alfarano, Martino Borello, Alessandro Neri +1
We develop three approaches of combinatorial flavour to study the structure of minimal codes and cutting blocking sets in finite geometry, each of which has a particular applicatio…
math.CO2020
The uncertainty principle over finite fields
Martino Borello, Patrick Solé
In this paper we study the uncertainty principle (UP) connecting a function over a finite field and its Mattson-Solomon polynomial, which is a kind of Fourier transform in positive…
cs.IT2020
Dihedral codes with prescribed minimum distance
Martino Borello, Abdelillah Jamous
Dihedral codes, particular cases of quasi-cyclic codes, have a nice algebraic structure which allows to store them efficiently. In this paper, we investigate it and prove some lowe…