Flag codes of maximum distance and constructions using Singer groups

نویسندگان

چکیده

In this paper we study flag codes of maximum distance. We characterize these in terms of, at most, two relevant constant dimension naturally associated to them. do first for general and then particularize those arising as orbits under the action arbitrary subgroups linear group. provide different systematic orbital constructions attaining both distance size. To end, use Singer groups take advantage good relation between Desarguesian spreads, well fact that they act transitively on lines hyperplanes.

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ژورنال

عنوان ژورنال: Finite Fields and Their Applications

سال: 2022

ISSN: ['1090-2465', '1071-5797']

DOI: https://doi.org/10.1016/j.ffa.2022.102011