2 papers
cs.IT2025
Dualities of dihedral and generalised quaternion codes and applications to quantum codes
Miguel Sales-Cabrera, Xaro Soler-Escrivà, Víctor Sotomayor
Let be a finite field of elements, for some prime power , and let be a finite group. A (left) group code, or simply a -code, is a (left) ideal of the g…
cs.IT2024
Codes in algebras of direct products of groups
Miguel Sales-Cabrera, Xaro Soler-Escrivà, Víctor Sotomayor
In this paper we obtain the Wedderburn-Artin decomposition of a semisimple group algebra associated to a direct product of finite groups. We also provide formulae for the number of…