Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks
From MaRDI portal
Publication:498981
DOI10.1007/s10623-014-9949-1zbMath1360.94316OpenAlexW2085317880MaRDI QIDQ498981
Chunlei Li, Xiangyong Zeng, Claude Carlet, Lei Hu, Jinyong Shan, Jiao Li
Publication date: 29 September 2015
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-014-9949-1
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (11)
A construction of 1-resilient Boolean functions with good cryptographic properties ⋮ Constructing even-variable RSBFs with higher nonlinearity, optimal AI and almost optimal FAI ⋮ Boolean functions with maximum algebraic immunity: further extensions of the Carlet-Feng construction ⋮ A characterization of balanced Boolean functions with optimal algebraic immunity ⋮ Constructing odd-variable RSBFs with optimal algebraic immunity, good nonlinearity and good behavior against fast algebraic attacks ⋮ On the algebraic immunity -- resiliency trade-off, implications for Goldreich's pseudorandom generator ⋮ A construction of highly nonlinear Boolean functions with optimal algebraic immunity and low hardware implementation cost ⋮ The estimates of trigonometric sums and new bounds on a mean value, a sequence and a cryptographic function ⋮ A survey on nonlinear Boolean functions with optimal algebraic immunity suitable for stream ciphers ⋮ New constructions of resilient functions with strictly almost optimal nonlinearity via non-overlap spectra functions ⋮ Balanced odd-variable rotation symmetric Boolean functions with optimal algebraic immunity and higher nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity
- Further properties of several classes of Boolean functions with optimum algebraic immunity
- Basic theory in construction of Boolean functions with maximum possible annihilator immunity
- Fast correlation attacks on certain stream ciphers
- The stability theory of stream ciphers
- On the security of the Feng-Liao-Yang Boolean functions with optimal algebraic immunity against fast algebraic attacks
- Highly Nonlinear Boolean Functions With Optimal Algebraic Immunity and Good Behavior Against Fast Algebraic Attacks
- Algebraic immunity for cryptographically significant Boolean functions: analysis and construction
- A New Attack on the Filter Generator
- Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks
- An Infinite Class of Balanced Functions with Optimal Algebraic Immunity, Good Immunity to Fast Algebraic Attacks and Good Nonlinearity
- On the Construction of Boolean Functions With Optimal Algebraic Immunity
- A Method of Construction of Balanced Functions with Optimum Algebraic Immunity
- Perfect Algebraic Immune Functions
- Constructing Symmetric Boolean Functions With Maximum Algebraic Immunity
- More Balanced Boolean Functions With Optimal Algebraic Immunity and Good Nonlinearity and Resistance to Fast Algebraic Attacks
- Comments on "Constructions of Cryptographically Significant Boolean Functions Using Primitive Polynomials
- On the Resistance of Boolean Functions Against Algebraic Attacks Using Univariate Polynomial Representation
- Constructions of Cryptographically Significant Boolean Functions Using Primitive Polynomials
- Advances in Cryptology - EUROCRYPT 2004
- Advances in Cryptology – CRYPTO 2004
- Advances in Cryptology - CRYPTO 2003
- On the Algebraic Immunity of Symmetric Boolean Functions
- Construction and Analysis of Boolean Functions of 2t+1 Variables with Maximum Algebraic Immunity
- Fast Software Encryption
- Fast Software Encryption
- Coding and Cryptography
This page was built for publication: Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks