19 citations · 47 across the 10 of their papers we have counts for
13 papers
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…
Root-Hadamard transforms and complementary sequences
Luis A. Medina, Matthew G. Parker, Constanza Riera +1
In this paper we define a new transform on (generalized) Boolean functions, which generalizes the Walsh-Hadamard, nega-Hadamard, -Hadamard, consta-Hadamard and all -transf…
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…
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…
Diophantine equations with binomial coefficients and perturbations of symmetric Boolean functions
Francis N. Castro, Oscar E. González, Luis A. Medina
This work presents a study of perturbations of symmetric Boolean functions. In particular, it establishes a connection between exponential sums of these perturbations and Diophanti…
Modular periodicity of exponential sums of symmetric Boolean functions and some of its consequences
Francis N. Castro, Luis A. Medina
This work brings techniques from the theory of recurrent integer sequences to the problem of balancedness of symmetric Boolean functions. In particular, the periodicity modulo …