41 citations · 125 across the 60 of their papers we have counts for
11 papers · 1 filter
Whitney Numbers of Rank-Metric Lattices and Code Enumeration
Giuseppe Cotardo, Alberto Ravagnani, Ferdinando Zullo
We investigate the Whitney numbers of the first kind of rank-metric lattices, which are closely linked to the open problem of enumerating rank-metric codes having prescribed parame…
The Geometry of Codes for Random Access in DNA Storage
Anina Gruica, Maria Montanucci, Ferdinando Zullo
Effective and reliable data retrieval is critical for the feasibility of DNA storage, and the development of random access efficiency plays a key role in its practicality and relia…
Representability of the direct sum of uniform q-matroids
Gianira N. Alfarano, Relinde Jurrius, Alessandro Neri +1
There are many similarities between the theories of matroids and -matroids. However, when dealing with the direct sum of -matroids many differences arise. Most notably, it ha…
On perfect symmetric rank-metric codes
Usman Mushrraf, Ferdinando Zullo
Let be the space of symmetric matrices in . A subspace of equipped with the rank distance is called a symmetric ra…
Full weight spectrum one-orbit cyclic subspace codes
Chiara Castello, Olga Polverino, Ferdinando Zullo
For a linear Hamming metric code of length n over a finite field, the number of distinct weights of its codewords is at most n. The codes achieving the equality in the above bound…
Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes
Ferruh Ozbudak, Paolo Santonastaso, Ferdinando Zullo
We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensi…