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Generalized Permutations and Ternary Bent Functions
The report studies the generation of ternary bent functions by permuting the
circular Vilenkin_Chrestenson spectrum of a known bent function. We call this
spectral invariant operations in the spectral domain, in analogy to the
spectral invariant operations in the domain of the functions. Furthermore,
related generalized permutations are derived to obtain new bent functions in
the original domain. In the case of 2_place ternary bent functions a class of
permutations with a Kronecker product structure is disclosed, which allows
generating all 2_place ternary bent functions, based on a set of 9 seed
functions.Comment: 31 pages, 4 theorems, 20 references, an Appendi