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arXiv · 2501.16838

Spread Codes from Abelian non-cyclic groups

Joan-Josep Climent·Veronica Requena·Xaro Soler-Escrivà
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Abstract

Given the finite field $\mathbb{F}_{q}$, for a prime power $q$, in this paper we present a way of constructing spreads of $\mathbb{F}_{q}^{n}$. 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.

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Joan-Josep Climent, Veronica Requena, Xaro Soler-Escrivà. 2025-01-28. Spread Codes from Abelian non-cyclic groups. https://arxiv.org/abs/2501.16838

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