On a conjecture for balanced symmetric Boolean functions

We give some results towards the conjecture that are the only nonlinear balanced elementary symmetric polynomials over GF(2), where t and are any positive integers and X(d, n) = Σ1≤i1<i2<⋯<id≤nxi1xi2 ⋯ xid.

Bibliographic Details
Main Authors: Cusick Thomas W., Li Yuan, Stănică Pantelimon
Format: Article
Language:English
Published: De Gruyter 2009-12-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/JMC.2009.017