Frames over finite fields: Basic theory and equiangular lines in unitary geometry
نویسندگان
چکیده
We introduce the study of frames and equiangular lines in classical geometries over finite fields. After developing basic theory, we give several examples demonstrate field analogs tight (ETFs) produced by modular difference sets, translation modulation operators. Using latter, prove that Gerzon's bound is attained each unitary geometry dimension d=22l+1 F32. also investigate interactions between complex ETFs those geometries, show every ETF implies existence with same size infinitely many
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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.2021.101954