Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields
From MaRDI portal
Publication:1752663
DOI10.1016/j.disc.2018.03.019zbMath1387.05263arXiv1702.08038OpenAlexW2592437378WikidataQ57933767 ScholiaQ57933767MaRDI QIDQ1752663
L. Brehsner Sepúlveda, Francis N. Castro, Luis A. Medina, Robin J. Chapman
Publication date: 24 May 2018
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.08038
Related Items (8)
The nonlinearity and Hamming weights of rotation symmetric Boolean functions of small degree ⋮ Walsh-Hadamard transforms of generalized \(p\)-ary functions and \(C\)-finite sequences ⋮ Short \(k\)-rotation symmetric Boolean functions ⋮ Unnamed Item ⋮ Hadamard matrices and the spectrum of quadratic symmetric polynomials over finite fields ⋮ Value distribution of elementary symmetric polynomials and its perturbations over finite fields ⋮ Closed formulas for exponential sums of symmetric polynomials over Galois fields ⋮ Recursions for modified Walsh transforms of some families of Boolean functions
Cites Work
- Hamming weights of symmetric Boolean functions
- On the minimal Fourier degree of symmetric Boolean functions
- Asymptotic behavior of perturbations of symmetric functions
- Modular periodicity of exponential sums of symmetric Boolean functions
- Linear recurrences and asymptotic behavior of exponential sums of symmetric Boolean functions
- Rotation symmetric Boolean functions-count and cryptographic properties
- On the Fourier spectrum of symmetric Boolean functions
- Fast evaluation, weights and nonlinearity of rotation-symmetric functions
- Weights of Boolean cubic monomial rotation symmetric functions
- Recursion orders for weights of Boolean cubic rotation symmetric functions
- Balanced Symmetric Functions Over ${\hbox{GF}}(p)$
- $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
- Diophantine Equations With Binomial Coefficients and Perturbations of Symmetric Boolean Functions
- Weight recursions for any rotation symmetric Boolean functions
- Recursive weights for some Boolean functions
- Improvements of the Chevalley-Warning and the Ax-Katz Theorems
- The MacWilliams-Sloane conjecture on the tightness of the Carlitz-Uchiyama bound and the weights of duals of BCH codes
- On the correlation of symmetric functions
- On Boolean Functions Which Are Bent and Negabent
- Fast Software Encryption
- Zeroes of Polynomials Over Finite Fields
This page was built for publication: Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields
