Results 161 to 170 of about 4,602 (178)

On Homogeneous Bent Functions

Lecture Notes in Computer Science, 2001
A new surprising connection between invariant theory and the theory of bent functions is established. This enables us to construct Boolean function having a prescribed symmetry given by a group action. Besides the quadratic bent functions the only other known homogeneous bent functions are the six variable degree three functions constructed in [14]. We
Thomas Beth, Beth Thomas
exaly   +2 more sources

A proof for the nonexistence of some homogeneous bent functions

Wuhan University Journal of Natural Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huan-Guo Zhang
exaly   +3 more sources

A note on homogeneous bent functions

Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
Jianqin Zhou
exaly   +2 more sources

Homogeneous Bent Functions, Invariants, and Designs

Designs, Codes and Cryptography, 2002
Bent functions are special polynomial functions over the 2-element Boolean ring. They have been studied extensively for the last 30 years and play an important role in coding theory and cryptography. In this paper, the authors present new methods of constructing homogeneous bent functions.
Charnes, C., Roetteler, Martin, Beth, Thomas   +2 more
openaire   +2 more sources

Construction of cubic homogeneous Boolean bent functions [PDF]

Australas. J Comb., 2000
Summary: The authors prove that cubic homogeneous bent functions \(f:V_{2n}\to GF(2)\) exist for all \(n\geq 3\) except for \(n=4\).
Seberry, Jennifer, Xia, Tianbing, Pieprzyk, J.   +2 more
openaire   +1 more source

On the Nonexistence of Homogeneous Rotation Symmetric Bent Boolean Functions of Degree Greater Than Two

2008
In this paper we present a result towards the conjectured nonexistence of homogeneous rotation symmetric bent functions having degree >2.
openaire   +1 more source

On the conjecture about the nonexistence of homogeneous rotation symmetric bent functions

Designs, Codes and Cryptography
Lei Sun 0011, Zexia Shi, Jian Liu 0004, Fang-Wei Fu 0001   +3 more
openaire   +1 more source

Cubic bent functions outside the completed Maiorana-McFarland class

Designs, Codes, and Cryptography, 2020
Alexandr Polujan, Alexander Pott, Pott Alexander   +2 more
exaly  

A novel algorithm enumerating bent functions

Discrete Mathematics, 2008
Huanguo Zhang
exaly  

Relationship Between Homogeneous Bent Functions and Nagy Graphs

Journal of Applied and Industrial Mathematics, 2020
exaly