12 citations · 13 across the 4 of their papers we have counts for
5 papers
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…
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 …
Exact Divisibility of Exponential Sums Associated to Binomials over finite fields
Francis Castro, Raúl Figueroa, Puhua Guan
In this paper we compute the exact divisibility of exponential sums associated to binomials . In particular, for the case where $\max\{d_1,d_2\}\leq\sqrt{…
Linear recurrences and asymptotic behavior of exponential sums of symmetric boolean functions
Francis N. Castro, Luis A. Medina
In this paper we give an improvement of the degree of the homogeneous linear recurrence with integer coefficients that exponential sums of symmetric Boolean functions satisfy. This…