2018/04/13 by Xin Wang, Wang, Xin, Lijun Ji +5
Decision Sciences · Engineering · #Combinatorics (math.CO) #FOS: Mathematics #Optimal Experimental Design Methods #VLSI and FPGA Design Techniques #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1804.05137
openalex publication_date 2018/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Augmented orthogonal arrays (AOAs) were introduced by Stinson, who showed the equivalence between ideal ramp schemes and augmented orthogonal arrays (Discrete Math. 341 (2018), 299-307). In this paper, we show that there is an AOA(s,t,k,v) if and only if there is an OA(t,k,v) which can be partitioned into vt-s subarrays, each being an OA(s,k,v), and that there is a linear AOA(s,t,k,q) if and only if there is a linear maximum distance separable (MDS) code of length k and dimension t over \mathbbFq which contains a linear MDS subcode of length k and dimension s over \mathbbFq. Some constructions for AOAs and some new infinite classes of AOAs are also given.