Constructions of augmented orthogonal arrays
نویسندگان
چکیده
منابع مشابه
Constructions of permutation arrays
977 d 0 1 of the copies of C C C q , the inner product hvjMjvi is constant as v ranges over the unit vectors of C. A quantum code with minimum distance d can be used to correct [(d 0 1)=2] single-letter errors.
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Definition Orthogonal arrays (OAs) are objects that are most often generated via algebraic arguments. They have a number of applications in applied mathematics, and have often been studied by algebraic mathematicians as objects of interest in their own right. Our treatment will reflect their use as representations of statistical experimental designs. An OA is generally presented as a two-dimens...
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(say) is called symmetric, otherwise, the array is said to be asymmetric. Several methods of construction of symmetric as well as asymmetric OAs are available in the literature. Some important methods will be discussed here. One of the principal applications of the OAs is in the selection of level combinations for fractional factorial experiments. An OA of strength t is equivalent to an orthogo...
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A permutation array(permutation code, PA) of length n and distance d, denoted by (n, d) PA, is a set of permutations C from some fixed set of n elements such that the Hamming distance between distinct members x,y ∈ C is at least d. In this correspondence, we present two constructions of PA from fractional polynomials over finite field, and a construction of (n, d) PA from permutation group with...
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The concept of a linear ordered orthogonal array is introduced, and its equivalent geometrical configuration is determined when its strength is 3 and 4. Existence of such geometrical configurations is investigated. They are also useful in the study of (T, M, S)-nets.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Designs
سال: 2018
ISSN: 1063-8539
DOI: 10.1002/jcd.21624