Plateaued functions on finite nonabelian groups
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Publication:6185338
DOI10.1007/s10801-023-01266-yOpenAlexW4386967687MaRDI QIDQ6185338
Publication date: 8 January 2024
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-023-01266-y
Fourier transformsderivativesautocorrelation functionsplateaued functionspartial geometric difference setsirreducible unitary representations of finite groups
Combinatorial aspects of block designs (05B05) Cryptography (94A60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Boolean functions (94D10)
Cites Work
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- Bentness and nonlinearity of functions on finite groups
- Plateaued functions and one-and-half difference sets
- Fourier transforms and bent functions on faithful actions of finite abelian groups
- Non abelian bent functions
- Nonlinearities of S-boxes
- G-perfect nonlinear functions
- A new characterization of group action-based perfect nonlinearity
- Generalized bent functions and their properties
- On ``bent functions
- Character theory of finite groups
- Nonlinear functions in abelian groups and relative difference sets.
- Fourier transforms and bent functions on finite groups
- Linear codes from weakly regular plateaued functions and their secret sharing schemes
- A framework for constructing partial geometric difference sets
- Highly nonlinear mappings
- A construction of bent functions from plateaued functions
- A new framework for identifying absolute maximum nonlinear functions
- Fourier transforms on finite group actions and bent functions
- On \(q\)-ary plateaued functions over \(\mathbb{F}_q\) and their explicit characterizations
- Nonlinear functions and difference sets on group actions
- Multidimensional Fourier transforms and nonlinear functions on finite groups
- Characterizations and constructions of plateaued functions on finite abelian groups
- Explicit Criteria for Construction of Plateaued Functions
- Boolean and Vectorial Plateaued Functions and APN Functions
- NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS
- Bent functions on a finite nonabelian group
- A new general construction for generalized bent functions
- Bent polynomials over finite fields
- Bent functions on a finite Abelian group
- On plateaued functions
- Bent functions from a finite abelian group into a finite abelian group
- Symmetric ‐Designs and ‐Difference Sets
- Absolute Maximum Nonlinear Functions on Finite Nonabelian Groups
- Plateaued functions, partial geometric difference sets, and partial geometric designs
- On the Derivative Imbalance and Ambiguity of Functions
- Two New Measures for Permutations: Ambiguity and Deficiency
- Ambiguity and Deficiency of Permutations Over Finite Fields With Linearized Difference Map
- Fast Software Encryption
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