Open AccessBoolean Functions with Multiple‐Valued Walsh Spectra
Author(s) -
Sun Tianfeng,
Hu Bin
Publication year - 2019
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2019.07.004
Subject(s) - boolean function , bent function , boolean expression , mathematics , function (biology) , bent molecular geometry , stone's representation theorem for boolean algebras , spectral line , parity function , walsh function , discrete mathematics , complete boolean algebra , cryptography , two element boolean algebra , combinatorics , pure mathematics , algorithm , algebra over a field , physics , quantum mechanics , chemistry , organic chemistry , evolutionary biology , filtered algebra , biology
Compared with the method by Zhang in 2017, an extended one for constructing Boolean functions with multiple‐valued Walsh spectra is given, which is derived from a bent function by complementing the values at some points. Based on which, new classes of Boolean functions with four‐valued and five‐valued Walsh spectra are presented, and some of their cryptographic properties are studied.