New nonexistence results on (m,n)-generalized bent functions

08/02/2019

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by   Ka Hin Leung, et al.

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In this paper, we present some new nonexistence results on (m,n)-generalized bent functions, which improved recent results. More precisely, we derive new nonexistence results for general n and m odd or m ≡ 2 4, and further explicitly prove nonexistence of (m,3)-generalized bent functions for all integers m odd or m ≡ 2 4. The main tools we utilized are certain exponents of minimal vanishing sums from applying characters to group ring equations that characterize (m,n)-generalized bent functions.