3 papers
cs.IT2026
Dualities of dihedral and generalised quaternion codes and applications to quantum codes
Miguel Sales-Cabrera, Xaro Soler-EscrivÃ, VÃctor 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.IT2025
Codes in algebras of direct products of groups
Miguel Sales-Cabrera, Xaro Soler-EscrivÃ, VÃctor 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…
cs.IT2025
Spread Codes from Abelian non-cyclic groups
Joan-Josep Climent, Veronica Requena, Xaro Soler-EscrivÃ
Given the finite field , for a prime power , in this paper we present a way of constructing spreads of . They will arise as orbits under the…