On the Cusick–Cheon Conjecture About Balanced Boolean Functions in the Cosets of the Binary Reed–Muller Code
Yuri Borissov · IEEE Transactions on Information Theory · 2009
In this paper, an amplification of the Cusick-Cheon 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 ges (m-1)/2, is proved.