On a conjecture for balanced symmetric Boolean functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2009 English Publisher:Walter de Gruyter GmbHJournal:Journal of Mathematical Cryptology, volume 3, pages 273-290 (issn: 1862-2976, eissn: 1862-2984,

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Authors: Thomas W. Cusick; Yuan Li; Pantelimon Stanica;

doi: 10.1515/jmc.2009.017

handle: 10945/38839

On a conjecture for balanced symmetric Boolean functions

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Abstract

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 ) = Σ 1≤ i 1 < i 2 <⋯< i d ≤ n x i 1 x i 2 ⋯ x i d .

Related Organizations

Winston-Salem State University
United States
Naval Postgraduate School
United States

Keywords

cryptography, balancedness, boolean functions, QA1-939, Cryptography, Boolean functions, Mathematics, symmetry

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