English

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

Information Theory 2008-04-14 v2 math.IT

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 2^m, in the cases where k = 1 or k >= (m-1)/2.

Keywords

Cite

@article{arxiv.0802.3437,
  title  = {On Cusick-Cheon's Conjecture About Balanced Boolean Functions in the Cosets of the Binary Reed-Muller Code},
  author = {Yuri L. Borissov},
  journal= {arXiv preprint arXiv:0802.3437},
  year   = {2008}
}

Comments

3 pages, Submitted to IEEE Transactions on Information Theory

R2 v1 2026-06-21T10:15:19.254Z