47 citations · 60 across the 12 of their papers we have counts for
16 papers
The Neighbor Graph of Linear Complementary Dual (LCD) Codes
Javier de la Cruz, Anna-Lena Horlemann, Marc Newman +2
Linear complementary dual (LCD) codes form an important class of linear codes with applications in cryptography, classical error correction, and quantum coding theory. In this pape…
Twisted skew -codes
Angelot Behajaina, Martino Borello, Javier de la Cruz +1
In this paper we investigate left ideals as codes in twisted skew group rings. The considered rings, which are often algebras over a finite field, allows us to detect many of the w…
On ideals in group algebras: an uncertainty principle and the Schur product
Martino Borello, Wolfgang Willems, Giovanni Zini
In this paper we investigate some properties of ideals in group algebras of finite groups over fields. First, we highlight an important link between their dimension, their minimal…
On the algebraic structure of quasi group codes
Martino Borello, Wolfgang Willems
In this note, an intrinsic description of some families of linear codes with symmetries is given, showing that they can be described more generally as quasi group codes, that is, a…
A Note on Linear Complementary Pairs of Group Codes
Martino Borello, Javier de la Cruz, Wolfgang Willems
We give a short and elementary proof of the fact that for a linear complementary pair , where and are -sided ideals in a group algebra, is uniquely determined…
Group codes over fields are asymptotically good
Martino Borello, Wolfgang Willems
Group codes are right or left ideals in a group algebra of a finite group over a finite field. Following ideas of Bazzi and Mitter on group codes over the binary field, we prove th…