Francis N. Castro

According to our database, Francis N. Castro authored at least 23 papers between 2003 and 2020.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2020

Multidimensional linear complexity analysis of periodic arrays.

Rafael A. Arce-Nazario, Francis N. Castro, Domingo Gómez-Pérez, Oscar Moreno, José R. Ortiz-Ubarri, Ivelisse Rubio, Andrew Z. Tirkel

Appl. Algebra Eng. Commun. Comput., 2020

2019

An improvement to Chevalley's theorem with restricted variables.

Francis N. Castro, Oscar E. González, Luis A. Medina

Finite Fields Their Appl., 2019

Bound for mixed exponential sums associated to binary good cyclic codes.

Rafael A. Arce-Nazario, Francis N. Castro, Braulio Molina

Finite Fields Their Appl., 2019

2018

Diophantine Equations With Binomial Coefficients and Perturbations of Symmetric Boolean Functions.

Francis N. Castro, Oscar E. González, Luis A. Medina

IEEE Trans. Inf. Theory, 2018

Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields.

Francis N. Castro, Robin Chapman, Luis A. Medina, L. Brehsner Sepúlveda

Discret. Math., 2018

New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ's conjecture.

Rafael A. Arce-Nazario, Francis N. Castro, Oscar E. González, Luis A. Medina, Ivelisse M. Rubio

Des. Codes Cryptogr., 2018

Exact 2-divisibility of exponential sums associated to boolean functions.

Francis N. Castro, Luis A. Medina, Ivelisse M. Rubio

Cryptogr. Commun., 2018

Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent.

Francis N. Castro, Luis A. Medina, Pantelimon Stanica

Appl. Algebra Eng. Commun. Comput., 2018

2017

Modular periodicity of exponential sums of symmetric Boolean functions.

Francis N. Castro, Luis A. Medina

Discret. Appl. Math., 2017

Editorial.

Francis N. Castro, Domingo Gómez-Pérez, Andrew Klapper, Ivelisse Rubio, Min Sha, Andrew Z. Tirkel

Adv. Math. Commun., 2017

Explicit formulas for monomial involutions over finite fields.

Francis N. Castro, Carlos J. Corrada-Bravo, Natalia Pacheco-Tallaj, Ivelisse Rubio

Adv. Math. Commun., 2017

On the covering radius of some binary cyclic codes.

Rafael A. Arce-Nazario, Francis N. Castro, José R. Ortiz-Ubarri

Adv. Math. Commun., 2017

2015

The <i>p</i>-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers.

Francis N. Castro, Oscar E. González, Luis A. Medina

Exp. Math., 2015

A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ's conjecture.

Francis N. Castro, Oscar E. González, Luis A. Medina

Cryptogr. Commun., 2015

2013

Diagonal equations.

Francis N. Castro, Ivelisse Rubio

Proceedings of the Handbook of Finite Fields., 2013

2011

Linear Recurrences and Asymptotic Behavior of Exponential Sums of Symmetric Boolean Functions.

Francis N. Castro, Luis A. Medina

Electron. J. Comb., 2011

2008

On systems of linear and diagonal equation of degree pⁱ+1 over finite fields of characteristic p.

Francis N. Castro, Ivelisse Rubio, Puhua Guan, Raúl Figueroa

Finite Fields Their Appl., 2008

2006

Correction to "Divisibility Properties for Covering Radius of Certain Cyclic Codes".

Oscar Moreno, Francis N. Castro, Harold F. Mattson

IEEE Trans. Inf. Theory, 2006

An Elementary Approach to Ax-Katz, McEliece's Divisibility and Applications to Quasi-Perfect Binary 2-Error Correcting Codes.

Francis N. Castro, Ivelisse Rubio, Hugues Randriam, Oscar Moreno, Harold F. Mattson

Proceedings of the Proceedings 2006 IEEE International Symposium on Information Theory, 2006

A Class of Fermat Curves for which Weil-Serre's Bound Can Be Improved.

Francis N. Castro, Ernesto Gomez, Oscar Moreno

Proceedings of the Applied Algebra, 2006

2004

Generalization and applications of McEliece's theorem.

Oscar Moreno, Francis N. Castro

Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

2003

Divisibility properties for covering radius of certain cyclic codes.

Oscar Moreno, Francis N. Castro

IEEE Trans. Inf. Theory, 2003

On the Covering Radius of Certain Cyclic Codes.

Oscar Moreno, Francis N. Castro

Proceedings of the Applied Algebra, 2003