Nested orthogonal arrays have been used in the design of an experimental setup consisting of two experiments, the expensive one of higher accuracy being nested in a larger and relatively less expensive one of lower accuracy. In this paper, we provide new methods of construction of two types of nested orthogonal arrays. MSC: 62K15

A replacement procedure to construct orthogonal arrays of strength three was proposed by Suen, Das and Dey (2001). This method was later extended by Suen and Dey (2003). In this paper, we further explore the replacement procedure to obtain some new families of orthogonal arrays of strength three. MSC: 62K15

The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials, indicating how Riordan array techniques can lead to closed-form expressions for these connection...

Variable strength orthogonal array, as a special form of variable covering plays an important role in computer software testing and cryptography. In this paper, we study the construction arrays with two containing greater than by Galois field construct some l Fan-construction.