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math.CO2025
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…
math.CO2023★ 1 cited
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…
math.CO2023
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…