A Note on a Conjecture for Balanced Elementary Symmetric Boolean Functions

Details A Note on a Conjecture for Balanced Elementary Symmetric Boolean Functions A Note on a Conjecture for Balanced Elementary Symmetric Boolean Functions

2012-03-07

arxiv.org/abs/1203.1418v2

Computer Science

Information Theory

Scientific paper

In 2008, Cusick {\it et al.} conjectured that certain elementary symmetric Boolean functions of the form $\sigma_{2^{t+1}l-1, 2^t}$ are the only nonlinear balanced ones, where $t$, $l$ are any positive integers, and $\sigma_{n,d}=\bigoplus_{1\le i_1<...

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