3 papers
math.NT2019
Value distribution of elementary symmetric polynomials and its perturbations over finite fields
Luis A. Medina, L. Brehsner Sepúlveda, César A. Serna-Rapello
In this article we establish the asymptotic behavior of generating functions related to the exponential sum over finite fields of elementary symmetric functions and their perturbat…
math.CO2018
Closed formulas for exponential sums of symmetric polynomials over Galois fields
Francis N. Castro, Luis A. Medina, L. Brehsner Sepúlveda
Exponential sums have applications to a variety of scientific fields, including, but not limited to, cryptography, coding theory and information theory. Closed formulas for exponen…
math.CO2017
Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields
Francis N. Castro, Robin Chapman, Luis A. Medina +1
Rotation symmetric Boolean functions are invariant under circular translation of indices. These functions have very rich cryptographic properties and have been used in different cr…