Multi-Sidon spaces over finite fields

12/16/2021
by   Ferdinando Zullo, et al.
0

Sidon spaces have been introduced by Bachoc, Serra and Zémor in 2017 in connection with the linear analogue of Vosper's Theorem. In this paper, we propose a generalization of this notion to sets of subspaces, which we call multi-Sidon space. We analyze their structures, provide examples and introduce a notion of equivalnce among them. Making use of these results, we study a class of linear sets in PG(r-1,q^n) determined by r points and we investigate multi-orbit cyclic subspace codes.

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