We define a class of hypercubic (shape n d ) arrays that in a certain sense are d-dimensional analogs of permutation matrices with our motivation from algebraic geometry. Various characterizations of permutation arrays are proved, an efficient generation algorithm is given, and enumerative questions
Covering arrays of higher strength from permutation vectors
β Scribed by George B. Sherwood; Sosina S. Martirosyan; Charles J. Colbourn
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 130 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Abstract
A covering array CA(N;t,k,v) is an NβΓβk array such that every NβΓβt subβarray contains all tβtuples from v symbols at least once, where t is the strength of the array. Covering arrays are used to generate software test suites to cover all tβsets of component interactions. We introduce a combinatorial technique for their construction, focussing on covering arrays of strength 3 and 4. With a computer search, covering arrays with improved parameters have been found. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 14: 202β213, 2006
π SIMILAR VOLUMES
## Abstract A __covering array__ __CA__(__N__;__t__,__k__, __v__ is an __N__βΓβ__k__ array such that every __N__βΓβ__t__ subarray contains all __t__βtuples from __v__ symbols __at least__ once, where __t__ is the __strength__ of the array. Covering arrays are used to generate software test suites t
## Abstract A __covering array__ of __size__ __N__, __strength__ __t__, __degree k__, and __order__ Ο is a __kβΓβN__ array on Ο symbols in which every __tβΓβN__ subarray contains every possible __t__βΓβ1 column at least once. We present explicit constructions, constructive upper bounds on the size
## Abstract Some constructions of balanced arrays of strength two are provided by use of rectangular designs, group divisible designs, and nested balanced incomplete block designs. Some series of such arrays are also presented as well as orthogonal arrays, with illustrations. Β© 2002 Wiley Periodica
A flexible patch placed on the hand releases molecules upon opening and closing of the hand. U. Jeong and co-workers describe in their Communication on page 724 ff. the fabrication of arrays of microcapsules onto an elastomer substrate. Preloaded molecules are released upon mechanical stretching of