A construction of non self-orthogonal designs

Self-orthogonal designs

A Construction for Quaternion Orthogonal Designs

This paper provides a general construction technique for rectangular matrices whose elements are quaternion variables and whose column vectors are formally orthogonal. These matrices are named quaternion orthogonal designs, in parallel with the well-known constructs of real and complex orthogonal designs. The proposed construction technique provides the first infinite family of this type of qua...

Construction of Orthogonal and Nearly Orthogonal Latin Hypercube Designs from Orthogonal Designs

Latin hypercube designs (LHDs), widely used for computer experiments, are a very large class of designs with desirable properties. Recently, a number of methods have been proposed to construct orthogonal LHDs. In this paper, we introduce an approach to constructing 2-order orthogonal designs. The methods are simple and easy to implement. Using orthogonal designs, we propose some methods for con...

Construction of Nested Orthogonal Latin Hypercube Designs

Nested Latin hypercube designs (LHDs) are proposed for conducting multiple computer experiments with different levels of accuracy. Orthogonality is shown to be an important feature. Little is known about the construction of nested orthogonal LHDs. We present methods to construct them with two or more layers, making use of orthogonal designs. The constructed designs possess the property that the...

A doubling construction for self-orthogonal codes

A simple construction of quaternary hermitian self-orthogonal codes with parameters [2n + 1, k + 1] and [2n + 2, k + 2] from a given pair of self-orthogonal [n, k] codes, and its link to quantum codes is considered. As an application, an optimal quaternary linear [28, 20, 6] dual containing code is found that yields a new optimal [[28, 12, 6]] quantum code.