Recent Results on Generalized Q-Ary Bent Functions

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Executive Summary

Boolean bent functions were introduced by Rothaus in 1976. In 1985, Kumar et al. extended the notion of bent functions in generalized setup. Then provided an analogue of classical Maiorana-McFarland type bent functions. In this paper, the authors study the cross-correlation of a subclass of such Generalized Maiorana-McFarland (GMMF) type bent functions. They provide some constructions on balanced quaternary functions (q = 4) with high nonlinearity under Lee metric. Further, they provide a construction of quaternary bent functions in n+1 variables in terms of their sub-functions in n-variables.

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