Spread Codes from Abelian non-cyclic groups
Information Theory
2025-01-29 v1 math.IT
Abstract
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 action of an Abelian non-cyclic group. First, we construct a family of orbit codes of maximum distance using this group, and then we complete each of these codes to achieve a spread of the whole space having an orbital structure.
Cite
@article{arxiv.2501.16838,
title = {Spread Codes from Abelian non-cyclic groups},
author = {Joan-Josep Climent and Veronica Requena and Xaro Soler-Escrivà},
journal= {arXiv preprint arXiv:2501.16838},
year = {2025}
}