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Definability of Boolean function classes by linear equations over GF(2)

Foldes, Stephan; Couceiro, Miguel (2004), Definability of Boolean function classes by linear equations over GF(2), Discrete Applied Mathematics, 142, 1-3, p. 29-34. http://dx.doi.org/10.1016/j.dam.2003.09.002

Type
Article accepté pour publication ou publié
Date
2004
Journal name
Discrete Applied Mathematics
Volume
142
Number
1-3
Publisher
Elsevier
Pages
29-34
Publication identifier
http://dx.doi.org/10.1016/j.dam.2003.09.002
Metadata
Show full item record
Author(s)
Foldes, Stephan
Couceiro, Miguel
Abstract (EN)
Necessary and sufficient conditions are provided for a class of Boolean functions to be definable by a set of linear functional equations over the two-element field. The conditions are given both in terms of closure with respect to certain functional compositions and in terms of definability by relational constraints.
Subjects / Keywords
Relational constraints; Linear functions; Equational classes; Clones; Boolean function classes

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