6 citations · 8 across the 8 of their papers we have counts for
8 papers
Correlation, Linear Complexity, Maximum order Complexity on Families of binary Sequences
Zhixiong Chen, Ana I. Gómez, Domingo Gómez-Pérez +1
Correlation measure of order is an important measure of randomness in binary sequences. This measure tries to look for dependence between several shifted version of a sequence.…
On the linear complexity for multidimensional sequences
Domingo Gómez-Pérez, Min Sha, Andrew Tirkel
In this paper, we define the linear complexity for multidimensional sequences over finite fields, generalizing the one-dimensional case. We give some lower and upper bounds, valid…
Array Orthogonality in Higher Dimensions
Sam Blake, Andrew Tirkel
We generalize the array orthogonality property for perfect autocorrelation sequences to -dimensional arrays. The generalized array orthogonality property is used to derive a num…
Secure CDMA Sequences
Anatolii Leukhin, Oscar Moreno, Andrew Tirkel
Single sequences like Legendre have high linear complexity. Known CDMA families of sequences all have low complexities. We present a new method of constructing CDMA sequence sets w…
A Construction for Perfect Periodic Autocorrelation Sequences
Samuel T. Blake, Andrew Z. Tirkel
We introduce a construction for perfect periodic autocorrelation sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions of L…
A Construction for Periodic ZCZ Sequences
Samuel T. Blake, Andrew Z. Tirkel
We introduce a construction for periodic zero correlation zone (ZCZ) sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions…