Partial spread and vectorial generalized bent functions
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In this paper we generalize the partial spread class and completely describe it for generalized Boolean functions from F(n/2) to Z(2t). Explicitly, we describe gbent function from F(n/2) to Z(2t), which can be seen as a gbent versio of Dillon's PS(ap) class. For the first time, we also introduce the concept of a vectorial gbent function from F(n/2) to Z(m/q), and determine the maximal value which m can attain for the q =2(t). Finally we point to a relation between vectorial gbent function and relative difference sets.
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