41 citations · 125 across the 60 of their papers we have counts for
80 papers
Non-additive symmetric rank-metric codes
Marta Messia, Ferdinando Zullo
We study non-additive rank-metric codes contained in the space of symmetric matrices over a finite field. Our main focus is on symmetric -codes. For odd , we introduce a quot…
Construction of Regular Fat Linear Sets and Non-Representable q-Matroids
Yufei Qiu, Valentino Smaldore, Zhenpeng Wang +2
Let be a prime power. An -regular fat -linear set has exactly points of weight , called fat points. All of its remaining points have weight one,…
Sunflowers of Reed--Solomon Codes
Roni Con, Anina Gruica, Maria Montanucci +1
We introduce and study Reed--Solomon sunflowers, namely families of Reed--Solomon codes whose pairwise intersections are all equal to the same fixed subspace. This notion lies at t…
Asymptotic Bounds on Generalized Covering Radii of Binary Primitive BCH Codes
Maosheng Xiong, Chi Hoi Yip, Ferdinando Zullo
Fix integers and . In this paper we study the -th generalized covering radius of the binary primitive -error-correcting BCH code $BC…
The Generalized Random Access Problem for Linear Codes
Anina Gruica, Antonio Petrillo, Ferdinando Zullo
Random access is a central requirement in DNA-based storage systems: one would like to recover selected information symbols without sequencing the whole encoded object. A recent co…
Weak arcs and applications to the DNA-based storage access problem
Geertrui Van de Voorde, Ferdinando Zullo
Weak arcs are point sets in PG meeting every general hyperplane (those are the hyperplanes not going through one of the points given by the standard basis vectors) in at m…