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Orthogonal F-rectangles, orthogonal arrays, and codes

โœ Scribed by Walter T Federer; John P Mandeli


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
735 KB
Volume
43
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


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for some permutation ' of the set f1Y 2Y F F F Y 2ng. An inยฎnite number of arrays which are suitable for any amicable set of eight circulant matrices are introduced. Applications include new classes of orthogonal designs.

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A new construction for orthogonal arrays of strength 3 is given. 0 1996 John Wiley & Sons, Inc. ## 1 . INTRODUCTION An orthogonal array of size N, degree k, order s, and strength t is a k by N array with entries from a set of s 2 2 symbols, having the property that in every t by N subarray, every

Coding-theoretic constructions for (t,m,
โœ Jรผrgen Bierbrauer; Yves Edel; Wolfgang Ch. Schmid ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 169 KB

## Abstract (__t__,__m__,__s__)โ€nets are point sets in Euclidean __s__โ€space satisfying certain uniformity conditions, for use in numerical integration. They can be equivalently described in terms of ordered orthogonal arrays, a class of finite geometrical structures generalizing orthogonal arrays.