.png){kind=icon}
.png){kind=icon}
Return
Schematic latin hypercube designs
.png){kind=icon}
PRE
AI
DOI：10.1007/s42952-026-00375-1.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Association schemes come from the study of partially balanced incomplete block designs (PBIBDs) and are important in many fields. An array is schematic if its runs form an association scheme under a given distance, and such arrays are useful for experimental design and software test suite generation. However, existing research mainly focuses on the properties and constructions of schematic arrays, especially orthogonal arrays under the Hamming distance. There is little research on schematic arrays under other distances. It is hard to get explicit expressions of schematic design matrices under the L-1 and Lee distance, and the construction of schematic Latin hypercube designs (LHDs) under these two distances is not well developed. The complexity of these two distances and schematic properties makes it diffi-cult to derive explicit expressions and construct such schematic LHDs. This paper proposes several construction methods for schematic and revised schematic LHDs under the L-1 and Lee distance, and provides examples to illustrate these methods.
Keywords:
Latin hypercube design
Lee distance
orthogonal array
schematic array
Journal
J
IF:
0.8
Papers:
31
Citations:
0