Results on the Gowers U2 Norm of Generalized Boolean Functions
From MaRDI portal
Publication:6132392
DOI10.1142/s0129054122500216WikidataQ114073259 ScholiaQ114073259MaRDI QIDQ6132392
Pinhui Ke, Unnamed Author, Chenhuang Wu, Zhixiong Chen
Publication date: 16 August 2023
Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)
signal-to-noise ratiogeneralized Boolean functionssecondary construction(generalized) sum-of-squares indicatorGowers \(U_2\) normrefined transparency order
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bent and generalized bent Boolean functions
- Redefining the transparency order
- On the global avalanche characteristics between two Boolean functions and the higher order nonlinearity
- Four decades of research on bent functions
- Generalized bent functions and their properties
- On ``bent functions
- Cross-correlation analysis of cryptographically useful boolean functions and s-boxes
- Construction methods for generalized bent functions
- A general framework for secondary constructions of bent and plateaued functions
- Gowers \(U_2\) norm as a measure of nonlinearity for Boolean functions and their generalizations
- A note on the signal-to-noise ratio of \((n, m)\)-functions
- Multiple characters transforms and generalized Boolean functions
- New characterizations for the multi-output correlation-immune Boolean functions
- Transparency order for Boolean functions: analysis and construction
- Partial spread and vectorial generalized bent functions
- Complementary Sets of Non-Power-of-Two Length for Peak-to-Average Power Ratio Reduction in OFDM
- Several New Infinite Families of Bent Functions and Their Duals
- Full Characterization of Generalized Bent Functions as (Semi)-Bent Spaces, Their Dual, and the Gray Image
- Further Results on Generalized Bent Functions and Their Complete Characterization
- Quaternary Constant-Amplitude Codes for Multicode CDMA
- Boolean Functions for Cryptography and Coding Theory
- Bent Functions
- Complete Characterization of Generalized Bent and 2k-Bent Boolean Functions
- Some results onq-ary bent functions
- On the Classification of 4 Bit S-Boxes
- Fast Software Encryption
