2 citations · 2 across the 5 of their papers we have counts for
10 papers
A new invariant for cyclic orbit flag codes
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
In the network coding framework, given a prime power and the vector space , a constant type flag code is a set of nested sequences of -subspaces (…
Motzkin numbers and flag codes
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
Motzkin numbers have been widely studied since they count many different combinatorial objects. In this paper we present a new appearance of this remarkable sequence in the network…
On Generalized Galois Cyclic Orbit Flag Codes
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
Flag codes that are orbits of a cyclic subgroup of the general linear group acting on flags of a vector space over a finite field, are called cyclic orbit flag codes. In this paper…
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…
Cyclic Orbit Flag Codes
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
In network coding, a flag code is a set of sequences of nested subspaces of , being the finite field with elements. Flag codes defined as orbits…
Consistent Flag Codes
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
In this paper we study flag codes on , being the finite field with elements. Special attention is given to the connection between the parameters…
An Orbital Construction of Optimum Distance Flag Codes
Clementa Alonso-González, Miguel Ángel Navarro-Pérez, Xaro Soler-Escrivà
Flag codes are multishot network codes consisting of sequences of nested subspaces (flags) of a vector space , where is a prime power and , the fi…
Optimum Distance Flag Codes from Spreads via Perfect Matchings in Graphs
Clementa Alonso-González, Miguel Ángel Navarro-Pérez, Xaro Soler-Escrivà
In this paper, we study flag codes on the vector space , being a prime power and the finite field of elements. More precisely, we focus on fl…
Flag Codes from Planar Spreads in Network Coding
Clementa Alonso-González, Miguel Ángel Navarro-Pérez, Xaro Soler-Escrivà
In this paper we study a class of multishot network codes given by families of nested subspaces (flags) of a vector space , being a prime power and $\mathbb{F}_…
Infinitesimal Poincaré-Bendixson Problem in dimension three
C. Alonso-González, F. Cano, R. Rosas
We describe the sets of accumulation of secants for orbits of real analytic vector fields in dimension three having the origin as only ω-limit point. It is a kind of infinitesimal…