On a conjecture for balanced symmetric Boolean functions

@article{Cusick2009OnAC,
  title={On a conjecture for balanced symmetric Boolean functions},
  author={Thomas W. Cusick and Christy Y. Li and Pantelimon Stanica},
  journal={J. Mathematical Cryptology},
  year={2009},
  volume={3},
  pages={273-290}
}
We give some results towards the conjecture that X(2, 2`− 1) are the only nonlinear balanced elementary symmetric polynomials over GF (2), where t and ` are any positive integers and X(d, n) = ∑ 1≤i1<i2<···<id≤n xi1xi2 · · ·xid . 

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