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ORCIDFrancis N. Castro
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2020 – today
- 2020
[j18]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): 43-63 (2020)
2010 – 2019
- 2019
- [j17]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: 200-215 (2019) - [j16]Francis N. Castro, Oscar E. González, Luis A. Medina:
An improvement to Chevalley's theorem with restricted variables. Finite Fields Their Appl. 58: 216-221 (2019) - 2018
- [j15]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): 433-453 (2018) - [j14]Francis N. Castro, Luis A. Medina, Ivelisse M. Rubio:
Exact 2-divisibility of exponential sums associated to boolean functions. Cryptogr. Commun. 10(4): 655-666 (2018) - [j13]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): 693-701 (2018) - [j12]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): 1915-1931 (2018) - [j11]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): 1347-1360 (2018) - 2017
- [j10]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): 301-306 (2017) - [j9]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): 329-338 (2017) - [j8]Francis N. Castro, Domingo Gómez-Pérez, Andrew Klapper, Ivelisse Rubio, Min Sha, Andrew Z. Tirkel:
Editorial. Adv. Math. Commun. 11(2): i (2017) - [j7]Francis N. Castro, Luis A. Medina:
Modular periodicity of exponential sums of symmetric Boolean functions. Discret. Appl. Math. 217: 455-473 (2017) - 2015
- [j6]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): 379-402 (2015) - [j5]Francis N. Castro, Oscar E. González, Luis A. Medina:
The p-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers. Exp. Math. 24(2): 183-195 (2015) - 2013
- [p1]Francis N. Castro, Ivelisse Rubio:
Diagonal equations. Handbook of Finite Fields 2013: 206-214 - 2011
- [j4]Francis N. Castro, Luis A. Medina:
Linear Recurrences and Asymptotic Behavior of Exponential Sums of Symmetric Boolean Functions. Electron. J. Comb. 18(2) (2011)
2000 – 2009
- 2008
- [j3]Francis N. Castro, Ivelisse Rubio, Puhua Guan, Raúl Figueroa:
On systems of linear and diagonal equation of degree pi+1 over finite fields of characteristic p. Finite Fields Their Appl. 14(3): 648-657 (2008) - 2006
- [j2]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): 1798-1799 (2006) - [c4]Francis N. Castro, Ernesto Gomez, Oscar Moreno:
A Class of Fermat Curves for which Weil-Serre's Bound Can Be Improved. AAECC 2006: 128-135 - [c3]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: 1905-1908 - 2004
- [c2]Oscar Moreno, Francis N. Castro:
Generalization and applications of McEliece's theorem. ISIT 2004: 359 - 2003
- [j1]Oscar Moreno, Francis N. Castro:
Divisibility properties for covering radius of certain cyclic codes. IEEE Trans. Inf. Theory 49(12): 3299-3303 (2003) - [c1]Oscar Moreno, Francis N. Castro:
On the Covering Radius of Certain Cyclic Codes. AAECC 2003: 129-138
Coauthor Index
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