Document Type

Journal Article

Publication Details

This article was originally published as Xia, T, Seberry, J, Pieprzyk, J and Charnes, C, Homogeneous bent functions of degree n in 2n variables do not exist for n > 3, Discrete Applied Mathematics, 142, 2004, 127-132. Original Elsevier journal available here.


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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