Abstract Orthogonal designs and their special cases such as weighing matrices and Hadamard matrices have many applications in combinatorics, statistics, and coding theory as well as in signal processing. In this paper we generalize the definition of orthogonal designs, we give many constructions for these designs and we prove some multiplication theorems that, most of them, can also be applied in the special case of orthogonal designs. Some necessary conditions for the existence of generalized orthogonal designs are also given
Computer experiments are becoming increasingly popular surrogates for physical experiments in recent...
Deng and Tang (Technometrics 44 (2002) 173) constructed a catalog of designs of 16, 20 and 24 runs u...
v, 115 leaves ; 29 cmAn orthogonal design of order n and type (si,..., se), denoted OD(n; si,..., se...
Orthogonal designs are a natural generalization of the Baumert-Hall arrays which have been used to c...
Craigen introduced and studied signed group Hadamard matrices extensively and eventually provided an...
Hadamard matrices, orthogonal designs and amicable orthogonal designs have a number of applications ...
Orthogonal designs of special type have been extensively studied, and it is the existence of these s...
Springer International Publishing AG 2017. Orthogonal designs have proved fundamental to constructin...
In this paper, we present new infinite families of three and four variable orthogonal designs based ...
Orthogonal designs are a natural generalization of the Baumert-Hall arrays which have been used to c...
Constructing Hadamard matrices via orthogonal designs Orthogonal designs were created to give a unif...
A survey of orthogonal designs This paper surveys orthogonal designs which are an overview of Baumer...
We show how to use Simple Genetic Algorithm to produce Hadamard matrices of large orders, from teh f...
Orthogonal designs of special type have been extensively studied, and it is the existence of these s...
The application of Hadamard matrices to the theory and construction of experimental designs is of co...
Computer experiments are becoming increasingly popular surrogates for physical experiments in recent...
Deng and Tang (Technometrics 44 (2002) 173) constructed a catalog of designs of 16, 20 and 24 runs u...
v, 115 leaves ; 29 cmAn orthogonal design of order n and type (si,..., se), denoted OD(n; si,..., se...
Orthogonal designs are a natural generalization of the Baumert-Hall arrays which have been used to c...
Craigen introduced and studied signed group Hadamard matrices extensively and eventually provided an...
Hadamard matrices, orthogonal designs and amicable orthogonal designs have a number of applications ...
Orthogonal designs of special type have been extensively studied, and it is the existence of these s...
Springer International Publishing AG 2017. Orthogonal designs have proved fundamental to constructin...
In this paper, we present new infinite families of three and four variable orthogonal designs based ...
Orthogonal designs are a natural generalization of the Baumert-Hall arrays which have been used to c...
Constructing Hadamard matrices via orthogonal designs Orthogonal designs were created to give a unif...
A survey of orthogonal designs This paper surveys orthogonal designs which are an overview of Baumer...
We show how to use Simple Genetic Algorithm to produce Hadamard matrices of large orders, from teh f...
Orthogonal designs of special type have been extensively studied, and it is the existence of these s...
The application of Hadamard matrices to the theory and construction of experimental designs is of co...
Computer experiments are becoming increasingly popular surrogates for physical experiments in recent...
Deng and Tang (Technometrics 44 (2002) 173) constructed a catalog of designs of 16, 20 and 24 runs u...
v, 115 leaves ; 29 cmAn orthogonal design of order n and type (si,..., se), denoted OD(n; si,..., se...
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