The enumeration of cyclic mutually nearly orthogonal Latin squares
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DOI: 10.1002/jcd.21647
Abstract: In this paper, we study collections of mutually nearly orthogonal Latin squares (MNOLS), which come from a modification of the orthogonality condition for mutually orthogonal Latin squares. In particular, we find the maximum μ such… read more here.
Keywords: nearly orthogonal; mutually nearly; mnols order; cyclic mnols ... See more keywords
Constructions of pairs of orthogonal latin cubes
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DOI: 10.1002/jcd.21718
Abstract: A pair of orthogonal latin cubes of order q is equivalent to a maximum distance separable code with distance 3 or to an OA1(3,5,q) orthogonal array. We construct pairs of orthogonal latin cubes for sequences… read more here.
Keywords: constructions pairs; orthogonal latin; latin cubes; pairs orthogonal ... See more keywords
Reliability of 3D memories using Orthogonal Latin Square codes
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DOI: 10.1016/j.microrel.2019.03.001
Abstract: Abstract Radiation is a cause of errors in electronics systems, especially on those deployed in space. Memories can suffer from different radiation effects including Single Event Upsets and Multiple Cell Upsets. These effects produce corruption… read more here.
Keywords: latin square; orthogonal latin; reliability memories; square codes ... See more keywords
A general rotation method for orthogonal Latin hypercubes
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DOI: 10.1093/biomet/asx022
Abstract: &NA; Orthogonal Latin hypercubes provide a class of useful designs for computer experiments. Among the available methods for constructing such designs, the method of rotation is particularly prominent due to its theoretical appeal as well… read more here.
Keywords: latin hypercubes; rotation method; orthogonal latin; general rotation ... See more keywords