Strict avalanche criterion over finite fields
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Publication:5443563
DOI10.1515/JMC.2007.005zbMath1145.11082MaRDI QIDQ5443563
Publication date: 21 February 2008
Published in: Mathematical Cryptology (Search for Journal in Brave)
Fourier transformfinite fieldBoolean functionsbent functionspermutation polynomialsquadratic residuesresiliencestrict avalanche criterionalgebraic normal form
Related Items (9)
Walsh-Hadamard transforms of generalized \(p\)-ary functions and \(C\)-finite sequences ⋮ Short \(k\)-rotation symmetric Boolean functions ⋮ Unnamed Item ⋮ On the number of rotation symmetric functions over \(\mathrm{GF}(p)\) ⋮ Improved lower bound on the number of balanced symmetric functions over \(\text{GF}(p)\) ⋮ Value distribution of elementary symmetric polynomials and its perturbations over finite fields ⋮ Closed formulas for exponential sums of symmetric polynomials over Galois fields ⋮ Enumeration of balanced symmetric functions over \(GF(p)\) ⋮ Linear structures of symmetric functions over finite fields
Cites Work
- Planar functions over finite fields
- Comment on ``Bounds on the number of functions satisfying the Strict Avalanche Criterion
- A conjecture on affine planes of prime order
- A note on permutation polynomials and finite geometries
- Generalized bent functions and their properties
- Counting binary functions with certain cryptographic properties
- Improving the strict avalanche characteristics of cryptographic functions
- An upper bound on the number of functions satisfying the strict avalanche criterion
- \(k\)th order symmetric SAC Boolean functions and bisecting binomial coefficients
- New results on the nonexistence of generalized bent functions
- Resilient functions over finite fields
- A new general construction for generalized bent functions
- Correlation-immune functions over finite fields
- Maximum nonlinearity of symmetric Boolean functions on odd number of variables
- Bounds on the number of functions satisfying the Strict Avalanche Criterion
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