Geodesic
A Generalized Rao Bound for Ordered Orthogonal Arrays and (t, m, s)-Nets
Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 359-370

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DOI

In this paper, we provide a generalization of the classical Rao bound for orthogonal arrays, which can be applied to ordered orthogonal arrays and $\left( t,\,m,\,s \right)$ -nets. Application of our new bound leads to improvements in many parameter situations to the strongest bounds (i.e., necessary conditions) for existence of these objects.
DOI : 10.4153/CMB-1999-042-x
Mots-clés : 05B15, 65C99 
Martin, W. J.; Stinson, D. R. A Generalized Rao Bound for Ordered Orthogonal Arrays and (t, m, s)-Nets. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 359-370. doi: 10.4153/CMB-1999-042-x
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     author = {Martin, W. J. and Stinson, D. R.},
     title = {A {Generalized} {Rao} {Bound} for {Ordered} {Orthogonal} {Arrays} and (t, m, {s)-Nets}},
     journal = {Canadian mathematical bulletin},
     pages = {359--370},
     year = {1999},
     volume = {42},
     number = {3},
     doi = {10.4153/CMB-1999-042-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-042-x/}
}
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