4 papers
Circular Costas maps: a multidimensional analog of circular Costas sequences
Ivelisse Rubio, Jaziel Torres
A unifying theoretical framework is presented, in which the connections among Costas sequences, circular Costas sequences, Costas polynomials, the shifting property, and Welch sequ…
Multidimensional Costas Arrays and Their Periodicity
Ivelisse Rubio, Jaziel Torres
A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous definitions. Some non-…
Analysis and Computation of Multidimensional Linear Complexity of Periodic Arrays
Rafael Arce, Carlos Hernández, José Ortiz +2
Linear complexity is an important parameter for arrays that are used in applications related to information security. In this work we survey constructions of two and three dimensio…
Permutation binomials of the form over
Ariane M. Masuda, Ivelisse Rubio, Javier Santiago
We present several existence and nonexistence results for permutation binomials of the form , where and . As a consequence, we ob…