National Natural Science Foundation of China [12371261, 12161040, 12361053, 11961027]; Natural Science Foundation of Hunan Provincial [2023JJ30486]; Scientific Research Plan Item of Hunan Provincial Department of Education [21C0370, 22A0355]
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
Literature reviews reveal that there is a very close connection between experimental design and coding theory. Based on a code mapping transformation, this paper provides a new method to construct a class of mixed designs with two- and four -level. A general construction method is described and some theoretical results of obtained designs are given. Analytic connections are established between the generated and the initial designs in terms of aberration criteria and discrepancies. Sharp lower bounds of the wrap -around L-2 - and Lee discrepancies are obtained and used as the benchmarks to meas...