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- W2125202015 abstract "In this paper we generalize the partial spread class and completely describe it for generalized Boolean functions from $${mathbb {F}}_2^n$$ to $${mathbb {Z}}_{2^t}$$ . Explicitly, we describe gbent functions from $${mathbb {F}}_2^n$$ to $${mathbb {Z}}_{2^t}$$ , which can be seen as a gbent version of Dillon’s $$PS_{ap}$$ class. For the first time, we also introduce the concept of a vectorial gbent function from $${mathbb {F}}_2^n$$ to $${mathbb {Z}}_q^m$$ , and determine the maximal value which m can attain for the case $$q=2^t$$ . Finally we point to a relation between vectorial gbent functions and relative difference sets." @default.
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- W2125202015 date "2016-10-08" @default.
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- W2125202015 title "Partial spread and vectorial generalized bent functions" @default.
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- W2125202015 doi "https://doi.org/10.1007/s10623-016-0283-7" @default.
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