Gibbs Characterization of Binary and Ternary Bent Functions

Radomir S. Stanković, Milena Stanković, Jaakko T. Astola, Claudio Moraga · 2016

The paper discusses relationships between bent functions and spectral invariant operations. Considerations are done on examples of binary and ternary bent functions, however, can be generalized to p-ary bent functions for any prime p. We also discuss differences between the binary and ternary cases of a method for characterization of certain classes of bent functions in terms of particular differential operators on finite groups called the Gibbs derivatives.

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