The authors characterize 2-to-1 mappings over finite fields via Walsh transforms, give multiple constructions, and apply them to bent functions, semi-bent functions, and permutation polynomials.
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On two-to-one mappings over finite fields
The authors characterize 2-to-1 mappings over finite fields via Walsh transforms, give multiple constructions, and apply them to bent functions, semi-bent functions, and permutation polynomials.