Improved lower bound on the number of balanced symmetric functions over \(\text{GF}(p)\)
From MaRDI portal
Publication:1010146
DOI10.1016/j.ins.2008.10.003zbMath1170.94012OpenAlexW2058001627MaRDI QIDQ1010146
Liuling Huang, Pinhui Ke, Shengyuan Zhang
Publication date: 3 April 2009
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2008.10.003
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (06E30)
Related Items (6)
On the global avalanche characteristics between two Boolean functions and the higher order nonlinearity ⋮ Constructing 1-resilient rotation symmetric functions over \(\mathbb{F}_p\) with \(q\) variables through special orthogonal arrays ⋮ New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ's conjecture ⋮ Construction and count of 1-resilient rotation symmetric Boolean functions ⋮ Enumeration of balanced symmetric functions over \(GF(p)\) ⋮ Enhanced Count of Balanced Symmetric Functions and Balanced Alternating Functions
Cites Work
- Unnamed Item
- Basic theory in construction of Boolean functions with maximum possible annihilator immunity
- Enumerating Boolean functions of cryptographic significance
- Linear structures of symmetric functions over finite fields
- Further enumerating Boolean functions of cryptographic significance
- Fast S-box security mechanism research based on the polymorphic cipher
- Symmetric Boolean Functions
- Resilient functions over finite fields
- Balanced Symmetric Functions Over ${\hbox{GF}}(p)$
- Maximum nonlinearity of symmetric Boolean functions on odd number of variables
- Advances in Cryptology - EUROCRYPT 2004
- Strict avalanche criterion over finite fields
- On the Algebraic Immunity of Symmetric Boolean Functions
This page was built for publication: Improved lower bound on the number of balanced symmetric functions over \(\text{GF}(p)\)