Xiang-dong Hou

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For any Boolean function f on GF(2)“, we define a sequence of ranks ri(f), 1 <i <m, which are invariant under the action of the general linear group GL(m,2). If f is a cubic bent function in 2k variables, we show that when rs(f) <k, f is either obtained from a cubic bent function in 2k 2 variables, or is in a well-known family of bent functions. We also(More)