Accession Number:

AD1014615

Title:

Cryptographic Properties of Monotone Boolean Functions

Descriptive Note:

Journal Article - Open Access

Corporate Author:

United States Naval Academy Annapolis United States

Report Date:

2016-01-01

Pagination or Media Count:

14.0

Abstract:

We prove various results on monotone Boolean functions. In particular, we prove a conjecture proposed recently, stating that there are no monotone bent Boolean functions. Further, we give an upper boundon the nonlinearity of monotone functions in odd dimension, we describe the WalshHadamard spectrum and investigate some other cryptographic properties of monotone Boolean functions.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE