Results on the nonexistence of bent-negabent rotation symmetric Boolean functions

DOI10.1007/s12095-022-00575-6zbMath1498.94119OpenAlexW4220842052WikidataQ114849133 ScholiaQ114849133MaRDI QIDQ2088944

Zexia Shi, Lei Sun, Jian Liu, Fang-Wei Fu

Publication date: 6 October 2022

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-022-00575-6

zbMATH Keywords

rotation symmetric Boolean functionnega-Hadamard transformbent-negabent functionWalsh-Hadmard transform

Mathematics Subject Classification ID

Boolean functions (94D10)

Cites Work

• A secondary construction and a transformation on rotation symmetric functions, and their action on bent and semi-bent functions
• Constructions of negabent functions over finite fields
• The DBlock family of block ciphers
• Rotation symmetric Boolean functions-count and cryptographic properties
• On ``bent functions
• On non-existence of bent-negabent rotation symmetric Boolean functions
• On the existence and non-existence of some classes of bent-negabent functions
• A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity
• Characterization of Negabent Functions and Construction of Bent-Negabent Functions With Maximum Algebraic Degree
• On the Symmetric Negabent Boolean Functions
• Generic Construction of Bent Functions and Bent Idempotents With Any Possible Algebraic Degrees
• Constructions of Quadratic and Cubic Rotation Symmetric Bent Functions
• Investigations on Bent and Negabent Functions via the Nega-Hadamard Transform
• On Boolean Functions Which Are Bent and Negabent