1 citations · 1 across the 7 of their papers we have counts for
10 papers
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…
Spread Codes from Abelian non-cyclic groups
Joan-Josep Climent, Veronica Requena, Xaro Soler-Escrivà
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…
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…
Equivalence for flag codes
Miguel Ángel Navarro-Pérez, Xaro Soler-Escrivà
Given a finite field F_q and a positive integer n, a flag is a sequence of nested F_q-subspaces of a vector space F_q^n and a flag code is a nonempty collection of flags. The proje…
Flag Codes: Distance Vectors and Cardinality Bounds
Clementa Alonso-González, Miguel Ángel Navarro-Pérez, Xaro Soler-Escrivà
Given the finite field with elements and an integer , a flag is a sequence of nested subspaces of and a flag code is a nonempty set of…
Flag codes of maximum distance and constructions using Singer groups
Miguel Ángel Navarro-Pérez, Xaro Soler-Escrivà
In this paper we study flag codes of maximum distance. We characterize these codes in terms of, at most, two relevant constant dimension codes naturally associated to them. We do t…