Upper Bounds and Constructions of Locating Arrays

Ce SHI  Jianfeng FU  Chengmin WANG  Jie YAN  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A   No.5   pp.827-833
Publication Date: 2021/05/01
Publicized: 2020/11/13
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAL2081
Type of Manuscript: LETTER
Category: Reliability, Maintainability and Safety Analysis
Keyword: 
locating arrays,  upper bound,  extendible,  covering arrays,  construction,  

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Summary: 
The use of locating arrays is motivated by the use of generating software test suites to locate interaction faults in component-based systems. In this paper, we introduce a new combinatorial configuration, with which a general combinatorial description of $(ar{1},t)$-locating arrays is presented. Based on this characterization, a number of locating arrays by means of SSOA and difference covering arrays with prescribed properties are constructed effectively. As a consequence, upper bounds on the size of locating arrays with small number of factors are then obtained.