Francis N. Castro

According to our database1, Francis N. Castro authored at least 23 papers between 2003 and 2020.

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Bibliography

2020
Multidimensional linear complexity analysis of periodic arrays.
Appl. Algebra Eng. Commun. Comput., 2020

2019
An improvement to Chevalley's theorem with restricted variables.
Finite Fields Their Appl., 2019

Bound for mixed exponential sums associated to binary good cyclic codes.
Finite Fields Their Appl., 2019

2018
Diophantine Equations With Binomial Coefficients and Perturbations of Symmetric Boolean Functions.
IEEE Trans. Inf. Theory, 2018

Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields.
Discret. Math., 2018

New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ's conjecture.
Des. Codes Cryptogr., 2018

Exact 2-divisibility of exponential sums associated to boolean functions.
Cryptogr. Commun., 2018

Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent.
Appl. Algebra Eng. Commun. Comput., 2018

2017
Modular periodicity of exponential sums of symmetric Boolean functions.
Discret. Appl. Math., 2017

Editorial.
Adv. Math. Commun., 2017

Explicit formulas for monomial involutions over finite fields.
Adv. Math. Commun., 2017

On the covering radius of some binary cyclic codes.
Adv. Math. Commun., 2017

2015
The <i>p</i>-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers.
Exp. Math., 2015

A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ's conjecture.
Cryptogr. Commun., 2015

2013
Diagonal equations.
Proceedings of the Handbook of Finite Fields., 2013

2011
Linear Recurrences and Asymptotic Behavior of Exponential Sums of Symmetric Boolean Functions.
Electron. J. Comb., 2011

2008
On systems of linear and diagonal equation of degree p<sup>i</sup>+1 over finite fields of characteristic p.
Finite Fields Their Appl., 2008

2006
Correction to "Divisibility Properties for Covering Radius of Certain Cyclic Codes".
IEEE Trans. Inf. Theory, 2006

An Elementary Approach to Ax-Katz, McEliece's Divisibility and Applications to Quasi-Perfect Binary 2-Error Correcting Codes.
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.
Proceedings of the Applied Algebra, 2006

2004
Generalization and applications of McEliece's theorem.
Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

2003
Divisibility properties for covering radius of certain cyclic codes.
IEEE Trans. Inf. Theory, 2003

On the Covering Radius of Certain Cyclic Codes.
Proceedings of the Applied Algebra, 2003


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