Francis N. Castro

Publication Activity (10 Years)

Years Active: 2003-2020
Publications (10 Years): 12

Top Topics

Boolean Functions

Multiresolution

Membership Queries

Prime Implicants

Top Venues

Adv. Math. Commun.

Finite Fields Their Appl.

Cryptogr. Commun.

Appl. Algebra Eng. Commun. Comput.

Publications

Rafael A. Arce-Nazario, Francis N. Castro, Domingo Gómez-Pérez, Oscar Moreno, José R. Ortiz-Ubarri, Ivelisse Rubio, Andrew Z. Tirkel
Multidimensional linear complexity analysis of periodic arrays. Appl. Algebra Eng. Commun. Comput. 31 (1) (2020)
Francis N. Castro, Oscar E. González, Luis A. Medina
An improvement to Chevalley's theorem with restricted variables. Finite Fields Their Appl. 58 (2019)
Rafael A. Arce-Nazario, Francis N. Castro, Braulio Molina
Bound for mixed exponential sums associated to binary good cyclic codes. Finite Fields Their Appl. 58 (2019)
Rafael A. Arce-Nazario, Francis N. Castro, Oscar E. González, Luis A. Medina, Ivelisse M. Rubio
New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ's conjecture. Des. Codes Cryptogr. 86 (3) (2018)
Francis N. Castro, Robin Chapman, Luis A. Medina, L. Brehsner Sepúlveda
Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields. Discret. Math. 341 (7) (2018)
Francis N. Castro, Luis A. Medina, Pantelimon Stanica
Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent. Appl. Algebra Eng. Commun. Comput. 29 (5) (2018)
Francis N. Castro, Oscar E. González, Luis A. Medina
Diophantine Equations With Binomial Coefficients and Perturbations of Symmetric Boolean Functions. IEEE Trans. Inf. Theory 64 (2) (2018)
Francis N. Castro, Luis A. Medina, Ivelisse M. Rubio
Exact 2-divisibility of exponential sums associated to boolean functions. Cryptogr. Commun. 10 (4) (2018)
Francis N. Castro, Domingo Gómez-Pérez, Andrew Klapper, Ivelisse Rubio, Min Sha, Andrew Z. Tirkel
Editorial. Adv. Math. Commun. 11 (2) (2017)
Francis N. Castro, Carlos J. Corrada-Bravo, Natalia Pacheco-Tallaj, Ivelisse Rubio
Explicit formulas for monomial involutions over finite fields. Adv. Math. Commun. 11 (2) (2017)
Rafael A. Arce-Nazario, Francis N. Castro, José R. Ortiz-Ubarri
On the covering radius of some binary cyclic codes. Adv. Math. Commun. 11 (2) (2017)
Francis N. Castro, Luis A. Medina
Modular periodicity of exponential sums of symmetric Boolean functions. Discret. Appl. Math. 217 (2017)
Francis N. Castro, Oscar E. González, Luis A. Medina
-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers. Exp. Math. 24 (2) (2015)
Francis N. Castro, Oscar E. González, Luis A. Medina
A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ's conjecture. Cryptogr. Commun. 7 (4) (2015)
Francis N. Castro, Luis A. Medina
Linear Recurrences and Asymptotic Behavior of Exponential Sums of Symmetric Boolean Functions. Electron. J. Comb. 18 (2) (2011)
Francis N. Castro, Ivelisse Rubio, Puhua Guan, Raúl Figueroa
+1 over finite fields of characteristic p. Finite Fields Their Appl. 14 (3) (2008)
Francis N. Castro, Ivelisse Rubio, Hugues Randriam, Oscar Moreno, Harold F. Mattson
An Elementary Approach to Ax-Katz, McEliece's Divisibility and Applications to Quasi-Perfect Binary 2-Error Correcting Codes. ISIT (2006)
Francis N. Castro, Ernesto Gomez, Oscar Moreno
A Class of Fermat Curves for which Weil-Serre's Bound Can Be Improved. AAECC (2006)
Oscar Moreno, Francis N. Castro, Harold F. Mattson
Correction to "Divisibility Properties for Covering Radius of Certain Cyclic Codes". IEEE Trans. Inf. Theory 52 (4) (2006)
Oscar Moreno, Francis N. Castro
Generalization and applications of McEliece's theorem. ISIT (2004)
Oscar Moreno, Francis N. Castro
On the Covering Radius of Certain Cyclic Codes. AAECC (2003)
Oscar Moreno, Francis N. Castro
Divisibility properties for covering radius of certain cyclic codes. IEEE Trans. Inf. Theory 49 (12) (2003)