12 citations · 33 across the 55 of their papers we have counts for
6 papers · 2 filters
The geometry of one-weight codes in the sum-rank metric
Alessandro Neri, Paolo Santonastaso, Ferdinando Zullo
We provide a geometric characterization of -dimensional -linear sum-rank metric codes as tuples of -subspaces of . We then us…
Linear maximum rank distance codes of exceptional type
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the exceptional ones, as…
Decoding a class of maximum Hermitian rank metric codes
Wrya K. Kadir, Chunlei Li, Ferdinando Zullo
Maximum Hermitian rank metric codes were introduced by Schmidt in 2018 and in this paper we propose both interpolation-based encoding and decoding algorithms for this family of cod…
On interpolation-based decoding of a class of maximum rank distance codes
Wrya K. Kadir, Chunlei Li, Ferdinando Zullo
In this paper we present an interpolation-based decoding algorithm to decode a family of maximum rank distance codes proposed recently by Trombetti and Zhou. We employ the properti…
Extending two families of maximum rank distance codes
Alessandro Neri, Paolo Santonastaso, Ferdinando Zullo
In this paper we provide a large family of rank-metric codes, which contains properly the codes recently found by Longobardi and Zanella (2021) and by Longobardi, Marino, Trombetti…
On the list decodability of rank-metric codes containing Gabidulin codes
Paolo Santonastaso, Ferdinando Zullo
Wachter-Zeh in [42], and later together with Raviv [31], proved that Gabidulin codes cannot be efficiently list decoded for any radius , providing that is large enough. Also…