95 citations · 271 across the 39 of their papers we have counts for
51 papers
Symmetric Models for Syndrome Decoding
Elisa Gorla, Simone Trebiani
This paper introduces a new polynomial model for the exact variant of the Syndrome Decoding Problem (SDP) in the binary case. The model is based on elementary symmetric polynomials…
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…
Generalized column distances
Elisa Gorla, Flavio Salizzoni
We define a notion of r-generalized column distances for the j-truncation of a convolutional code. Taking the limit as j tends to infinity allows us to define r-generalized column…
Generalized weights of convolutional codes
Elisa Gorla, Flavio Salizzoni
In 1997 Rosenthal and York defined generalized Hamming weights for convolutional codes, by regarding a convolutional code as an infinite dimensional linear code endowed with the Ha…