2020/04/30 by Alonso-González, Clementa, Navarro-Pérez, Miguel Ángel, Soler-Escrivà, Xaro · 1 citation
#FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2004.14867
In this paper we study a class of multishot network codes given by families of nested subspaces (flags) of a vector space \mathbbFqn, being q a prime power and \mathbbFq the finite field of q elements. In particular, we focus on flag codes having maximum minimum distance (optimum distance flag codes). We explore the existence of these codes from spreads, based on the good properties of the latter ones. For n=2k, we show that optimum distance full flag codes with the largest size are exactly those that can be constructed from a planar spread. We give a precise construction of them as well as a decoding algorithm.