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On Cusick-Cheon's Conjecture About Balanced Boolean Functions in the Cosets of the Binary Reed-Muller Code

Abstract

It is proved an amplification of Cusick-Cheon's conjecture on balanced Boolean functions in the cosets of the binary Reed-Muller code RM(k,m) of order k and length 2m, in the cases where k = 1 or k >= (m-1)/2.

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