On homogeneous rotation symmetric bent functions

On homogeneous rotation symmetric bent functions

In this paper, we present partial results towards the conjectured nonexistence of homogeneous rotation symmetric bent functions having degree > 2.

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Veröffentlicht in:Discrete Applied Mathematics 2010-05, Vol.158 (10), p.1111-1117
Hauptverfasser: Meng, Qiang, Chen, Lusheng, Fu, Fang-Wei
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic combinatorics
Algebraic degree
Algorithmics. Computability. Computer arithmetics
Applied sciences
Bent functions
Combinatorics
Combinatorics. Ordered structures
Computer science
control theory
systems
Exact sciences and technology
Homogeneous Boolean functions
Mathematical analysis
Mathematics
Nonlinearity
Order, lattices, ordered algebraic structures
Rotation symmetric Boolean functions
Sciences and techniques of general use
Theoretical computing
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Beschreibung
Zusammenfassung:In this paper, we present partial results towards the conjectured nonexistence of homogeneous rotation symmetric bent functions having degree > 2.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2010.02.009