Author

Gianira N. Alfarano

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Preprint Sep 2026

A proof of the generalized packing-covering conjecture

The generalized packing--covering conjecture of Elimelech, Firer and Schwartz asserts that, for every linear code $\mathcal{C}$ and every admissible order $t$, the $t$-th generalized Hamming weight $d_t(\mathcal{C})$ and the $t$-th generalized covering radius $R_t(\mathcal{C})$ satisfy $d_t(\mathcal{C})\le 2R_t(\mathca...

Gianira N. Alfarano, G. Marino, Alessandro Neri et al. · 0 citations

Jul 2026

Combinatorial constructions of Schubert subspace codes

We study Schubert subspace codes, which are constant-dimension subspace codes with prescribed intersection conditions with a fixed subspace. Our goal is to construct codes of maximum possible size in the extremal distance cases where a natural counting upper bound applies. We give two families of constructions. The fir...

Gianira N. Alfarano, Alessandro Neri, Beatrice Toesca · arXiv.org · 0 citations