Tianbing Xia, Jennifer Seberry, Josef Pieprzyk, Chris Charnes
Abstract
We prove that homogeneous bent functions f : GF(2)2n —> GF(2) of degree n do not exist for n > 3. Consequently homogeneous bent functions must have degree < n for n > 3.
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We prove that homogeneous bent functions f : GF(2)2n —> GF(2) of degree n do not exist for n > 3. Consequently homogeneous bent functions must have degree < n for n > 3.
Key concepts: Degree (music), Bent molecular geometry, Homogeneous, Bent function, Mathematics, Combinatorics, Computer science, Discrete mathematics