Bentness and nonlinearity of functions on finite groups
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Publication:494578
DOI10.1007/S10623-014-9968-YzbMath1359.11092OpenAlexW2137232464MaRDI QIDQ494578
Publication date: 1 September 2015
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-014-9968-y
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Representation theory of groups (20C99) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
Related Items (10)
A survey on \(p\)-ary and generalized bent functions ⋮ Fourier transforms and bent functions on finite groups ⋮ Nonlinear functions and difference sets on group actions ⋮ Dual bent functions on finite groups and \(C\)-algebras ⋮ Plateaued functions on finite nonabelian groups ⋮ Characterizations and constructions of plateaued functions on finite abelian groups ⋮ Fourier transforms and bent functions on faithful actions of finite abelian groups ⋮ A new framework for identifying absolute maximum nonlinear functions ⋮ Worst-case approximability of functions on finite groups by endomorphisms and affine maps ⋮ Fourier transforms on finite group actions and bent functions
Cites Work
- Unnamed Item
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- Non abelian bent functions
- On ``bent functions
- Character theory of finite groups
- Nonlinear functions in abelian groups and relative difference sets.
- Highly nonlinear mappings
- Multidimensional Fourier transforms and nonlinear functions on finite groups
- NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS
- Bent functions on a finite nonabelian group
- Efficient Computation of the Fourier Transform on Finite Groups
- Bent functions on a finite Abelian group
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