3 papers
cs.IT2026
Latroids and code invariants
Elisa Gorla, Flavio Salizzoni
Latroids were introduced by Vertigan, who associated a latroid to a linear block code and showed that its Tutte polynomial determines the weight enumerator of the code. The origina…
cs.IT2026
Integer sequences that are generalized weights of a linear code
Elisa Gorla, Elisa Lorenzo GarcÃa, Umberto MartÃnez-Peñas +1
Which integer sequences are sequences of generalized weights of a linear code? In this paper, we answer this question for linear block codes, rank-metric codes, and more generally…
cs.IT2025
A geometric invariant of linear rank-metric codes
Valentina Astore, Martino Borello, Marco Calderini +1
Rank-metric codes have been a central topic in coding theory due to their theoretical and practical significance, with applications in network coding, distributed storage, crisscro…