95 citations · 271 across the 39 of their papers we have counts for
3 papers · 2 filters
Integer sequences that are generalized weights of a linear code
Elisa Gorla, Elisa Lorenzo García, Umberto Martínez-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…
MacWilliams' Extension Theorem for rank-metric codes
Elisa Gorla, Flavio Salizzoni
The MacWilliams' Extension Theorem is a classical result by Florence Jessie MacWilliams. It shows that every linear isometry between linear block-codes endowed with the Hamming dis…
Sum-rank metric codes
Elisa Gorla, Umberto Martínez-Peñas, Flavio Salizzoni
Sum-rank metric codes are a natural extension of both linear block codes and rank-metric codes. They have several applications in information theory, including multishot network co…