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BY-NC-ND 3.0 license Open Access Published by De Gruyter March 19, 2010

On a conjecture for balanced symmetric Boolean functions

  • Thomas W. Cusick , Yuan Li and Pantelimon Stănică

Abstract

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<⋯<idnxi1xi2xid.

Received: 2008-06-23
Revised: 2009-07-20
Published Online: 2010-03-19
Published in Print: 2009-December

© de Gruyter 2009

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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