Value distribution of elementary symmetric polynomials and its perturbations over finite fields

DOI10.1016/j.ffa.2020.101632zbMath1433.05317arXiv1908.11793OpenAlexW2998849591WikidataQ126380098 ScholiaQ126380098MaRDI QIDQ2302586

Luis A. Medina, L. Brehsner Sepúlveda, César A. Serna-Rapello

Publication date: 26 February 2020

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11793

zbMATH Keywords

exponential sumsvalue distributionsymmetric functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Exponential sums (11T23)

Related Items (1)

Walsh-Hadamard transforms of generalized \(p\)-ary functions and \(C\)-finite sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hamming weights 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
• Enumerating Boolean functions of cryptographic significance
• Linear structures of symmetric functions over finite fields
• Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent
• Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields
• Closed formulas for exponential sums of symmetric polynomials over Galois fields
• The elementary symmetric functions in a finite field of prime order
• New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ's conjecture
• Recent Results on Balanced Symmetric Boolean Functions
• Symmetric Boolean Functions
• Resilient functions over finite fields
• Balanced Symmetric Functions Over ${\hbox{GF}}(p)$
• Correlation-immune functions over finite fields
• Diophantine Equations With Binomial Coefficients and Perturbations of Symmetric Boolean Functions
• On the correlation of symmetric functions
• Strict avalanche criterion over finite fields
• On the Asymptotic Distribution of the Elementary Symmetric Functions (Mod p)

This page was built for publication: Value distribution of elementary symmetric polynomials and its perturbations over finite fields