AbstractA nested orthogonal array is an OA(N,k,s,g) which contains an OA(M,k,r,g) as a subarray. Here r<s and M<N. Necessary conditions for the existence of such arrays are obtained in the form of upper bounds on k, given N, M, s, r and g. Examples are given to show that these bounds are quite powerful in proving nonexistence. The link with incomplete orthogonal arrays is also indicated
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a colle...
AbstractA k2m×n (0,1) matrix is called a binary orthogonal array of strength m if in any m columns o...
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a colle...
A nested orthogonal array is an OA(M,k,s,g) which contains an OA(M,k,r,g) as a subarray. Here r<s...
AbstractA nested orthogonal array is an OA(N,k,s,g) which contains an OA(M,k,r,g) as a subarray. Her...
AbstractFirst we prove that, if an incomplete orthogonal array (1, r, s, k, t) does exist, then s ⩾(...
A new construction for orthogonal arrays of strength 3 is given. 1 Introduction An orthogonal array...
An orthogonal array OA(N, m, s, t) attaining the Rao [Factorial experiments derivable from combinato...
It is shown that a signed orthogonal array SA<SUB>t</SUB>(v, k, λ) exists for all (v, k, λ, t), k ≥ ...
AbstractIt is shown that a signed orthogonal array SAt(v, k, λ) exists for all (v, k, λ, t), k ⩾ t a...
AbstractAn orthogonal array OA(N, m, s, t) attaining the Rao [Factorial experiments derivable from c...
The problem of embedding an orthogonal array of strength 2 into a complete orthogonal array is discu...
Let x≥0 and n≥2 be integers. Suppose there exists an orthogonal array A(n, q, μ∗) of strength 2 in n...
AbstractBy an OA(3,5,v) we mean an orthogonal array (OA) of order v, strength t=3, index unity and 5...
The only known general bounds on the parameters of orthogonal arrays are those given by Rao in 1947 ...
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a colle...
AbstractA k2m×n (0,1) matrix is called a binary orthogonal array of strength m if in any m columns o...
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a colle...
A nested orthogonal array is an OA(M,k,s,g) which contains an OA(M,k,r,g) as a subarray. Here r<s...
AbstractA nested orthogonal array is an OA(N,k,s,g) which contains an OA(M,k,r,g) as a subarray. Her...
AbstractFirst we prove that, if an incomplete orthogonal array (1, r, s, k, t) does exist, then s ⩾(...
A new construction for orthogonal arrays of strength 3 is given. 1 Introduction An orthogonal array...
An orthogonal array OA(N, m, s, t) attaining the Rao [Factorial experiments derivable from combinato...
It is shown that a signed orthogonal array SA<SUB>t</SUB>(v, k, λ) exists for all (v, k, λ, t), k ≥ ...
AbstractIt is shown that a signed orthogonal array SAt(v, k, λ) exists for all (v, k, λ, t), k ⩾ t a...
AbstractAn orthogonal array OA(N, m, s, t) attaining the Rao [Factorial experiments derivable from c...
The problem of embedding an orthogonal array of strength 2 into a complete orthogonal array is discu...
Let x≥0 and n≥2 be integers. Suppose there exists an orthogonal array A(n, q, μ∗) of strength 2 in n...
AbstractBy an OA(3,5,v) we mean an orthogonal array (OA) of order v, strength t=3, index unity and 5...
The only known general bounds on the parameters of orthogonal arrays are those given by Rao in 1947 ...
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a colle...
AbstractA k2m×n (0,1) matrix is called a binary orthogonal array of strength m if in any m columns o...
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a colle...
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