1 citations · 1 across the 7 of their papers we have counts for
7 papers
The maximum number of nonzero weights of linear rank-metric codes
Chiara Castello, Paolo Santonastaso, Martin Scotti
We investigate the maximum number \( L_{\mathrm{rk}}(n, m, k, q) \) of distinct nonzero rank weights that an \( \mathbb{F}_{q^m} \)-linear rank-metric code of dimension \( k \) in…
Asymptotically optimal cyclic subspace codes
Chiara Castello, Paolo Santonastaso
Subspace codes, and in particular cyclic subspace codes, have gained significant attention in recent years due to their applications in error correction for random network coding.…
Quasi-optimal cyclic orbit codes
Chiara Castello, Heide Gluesing-Luerssen, Olga Polverino +1
We focus on two aspects of cyclic orbit codes: invariants under equivalence and quasi-optimality. Regarding the first aspect, we establish a connection between the codewords of a c…
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…
On one-orbit cyclic subspace codes of
Chiara Castello, Olga Polverino, Ferdinando Zullo
Subspace codes have recently been used for error correction in random network coding. In this work, we focus on one-orbit cyclic subspace codes. If is an -subspac…
On generalized Sidon spaces
Chiara Castello
Sidon spaces have been introduced by Bachoc, Serra and Zémor as the -analogue of Sidon sets, classical combinatorial objects introduced by Simon Szidon. In 2018 Roth, Raviv and…
Constructions and equivalence of Sidon spaces
Chiara Castello, Olga Polverino, Paolo Santonastaso +1
Sidon spaces have been introduced by Bachoc, Serra and Zémor in 2017 as the -analogue of Sidon sets. The interest on Sidon spaces has increased quickly, especially after the wor…