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cs.IT2025
Decoding Trombetti-Zhou codes: a new syndrome-based decoding approach
Chunlei Li, Angelica Piccirillo, Olga Polverino +1
In 2019, Trombetti and Zhou introduced a new family of -linear Maximum Rank Distance (MRD) codes over . For such codes we propose a new syndr…
math.CO2025
Delsarte duality on subspaces and applications to rank-metric codes and q-matroids
Martino Borello, Olga Polverino, Ferdinando Zullo
We study the interplay between the lattice of F_{q^m}-subspaces and the lattice of F_{q^m}-subspaces of an F_{q^m}-vector space. Introducing notions of weight and defect relative t…
cs.IT2025
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…