Search Results - "Rubio, Ivelisse"

Circular Costas maps: A multidimensional analog of circular Costas sequences by Torres, Jaziel, Rubio, Ivelisse

“…A unifying theoretical framework is presented, in which the connections among Costas sequences, circular Costas sequences, Costas polynomials, the shifting…”
Get full text

Analysis and computation of multidimensional linear complexity of periodic arrays by Arce, Rafael, Hernández, Carlos, Ortiz, José, Rubio, Ivelisse, Torres, Jaziel

“…Linear complexity is an important parameter for arrays that are used in applications related to information security. In this work we survey constructions of…”
Get full text

New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ’s conjecture by Arce-Nazario, Rafael A., Castro, Francis N., González, Oscar E., Medina, Luis A., Rubio, Ivelisse M.

“…In this paper we provide new families of balanced symmetric functions over any finite field. We also generalize a conjecture of Cusick, Li, and Stǎnicǎ about…”
Get full text

Exact 2-divisibility of exponential sums associated to boolean functions by Castro, Francis N., Medina, Luis A., Rubio, Ivelisse M.

“…In this paper we extend the covering method for computing the exact 2-divisibility of exponential sums of Boolean functions, improve results on the…”
Get full text

Exact p-divisibility of exponential sums via the covering method by CASTRO, FRANCIS, RUBIO, IVELISSE M.

“…-divisibility of exponential sums of new families of polynomials, to unify and improve previously known results, and to construct families of systems of…”
Get full text

Multidimensional Costas Arrays and Their Periodicity by Torres, Jaziel, Rubio, Ivelisse

“…A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous…”
Get full text

Permutation binomials of the form x(x−1 + a) over F q e by Masuda, Ariane M., Rubio, Ivelisse M., Santiago, Javier

Get full text

Permutation binomials of the form xr(xq−1 + a) over Fqe by Masuda, Ariane M., Rubio, Ivelisse M., Santiago, Javier

“…We present several existence and nonexistence results for permutation binomials of the form xr(xq−1+a), where e≥2 and a∈Fqe⁎. As a consequence, we obtain a…”
Get full text

Multidimensional linear complexity analysis of periodic arrays by Arce-Nazario, Rafael, Castro, Francis, Gomez-Perez, Domingo, Moreno, Oscar, Ortiz-Ubarri, José, Rubio, Ivelisse, Tirkel, Andrew

“…The linear complexity of a sequence is an important parameter for many applications, especially those related to information security, and hardware…”
Get full text

Circular Costas maps: a multidimensional analog of circular Costas sequences by Rubio, Ivelisse, Torres, Jaziel

“…A unifying theoretical framework is presented, in which the connections among Costas sequences, circular Costas sequences, Costas polynomials, the shifting…”
Get full text

Multidimensional Costas Arrays and Their Periodicity by Rubio, Ivelisse, Torres, Jaziel

“…A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous…”
Get full text

Analysis and Computation of Multidimensional Linear Complexity of Periodic Arrays by Arce, Rafael, Hernández, Carlos, Ortiz, José, Rubio, Ivelisse, Torres, Jaziel

“…Linear complexity is an important parameter for arrays that are used in applications related to information security. In this work we survey constructions of…”
Get full text

Permutation binomials of the form $x^r(x^{q-1}+a)$ over $\mathbb F_{q^e} by Masuda, Ariane M, Rubio, Ivelisse, Santiago, Javier

“…Finite Fields Appl. 79 (2022), 102003 We present several existence and nonexistence results for permutation binomials of the form $x^r(x^{q-1}+a)$, where…”
Get full text

Divisibility of exponential sums via elementary methods by Castro, Francis N., Randriam, Hugues, Rubio, Ivelisse, Mattson, H.F.

“…We present an elementary method for evaluating the order of p-divisibility of exponential sums over a prime field. This method unifies and sometimes improves…”
Get full text

On systems of linear and diagonal equation of degree p i + 1 over finite fields of characteristic p by Castro, Francis N., Rubio, Ivelisse, Guan, Puhua, Figueroa, Raúl

“…One of the most important questions in number theory is to find properties on a system of equations that guarantee solutions over a field. A well-known problem…”
Get full text

DIVISIBILITY OF EXPONENTIAL SUMS AND SOLVABILITY OF CERTAIN EQUATIONS OVER FINITE FIELDS by Castro, Francis N., Rubio, Ivelisse, Vega, José M.

“…Carlitz [Solvability of certain equations in a finite field, Quart. J. Math. (Oxford) 7 (1956), 3–4] determined conditions under which infinite families of…”
Get full text

Linear complexity for multidimensional arrays - a numerical invariant by Gomez-Perez, Domingo, Hoholdt, Tom, Moreno, Oscar, Rubio, Ivelisse

“…Linear complexity is a measure of how complex a one dimensional sequence can be. In this paper we extend the concept of linear complexity to multiple…”
Get full text

Grobner bases for 0-dimensional ideals and applications to decoding by Rubio, Ivelisse M

“…Grobner bases are generating sets for ideals which can be used to give algorithmic solutions to many problems that arise in commutative algebra and other areas…”
Get full text

An Elementary Approach to Ax-Katz, McEliece's Divisibility and Applications to Quasi-Perfect Binary 2-Error Correcting Codes by Castro, F.N., Rubio, I., Randriam, H.

“…In this paper we present an algorithmic approach to the problem of the divisibility of the number of solutions to a system of polynomial equations. Using this…”
Get full text

Algebraic construction of interleavers using permutation monomials by Corrada Bravo, C.J., Rubio, I.

“…We present an algebraic construction for interleavers of length p/sup r/, where p is any prime. These interleavers are very simple to implement and have…”
Get full text