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math.CO2026
Improved Bounds for Nested Orthogonal Arrays
Xiaodong Niu, Guangzhou Chen, Zihong Tian +1
Nested orthogonal arrays (NOAs) have found increasing application in various experimental design problems. A central challenge in this field is the derivation of lower bounds on th…
math.CO2022
Generalized perfect difference families and their application to variable-weight geometric orthogonal codes
Xiaowei Su, Lidong Wang, Zihong Tian
Motivated by the application in geometric orthogonal codes (GOCs), Wang et al. introduced the concept of generalized perfect difference families (PDFs), and established the equival…