Some Properties of Macula’s Matrix and its Complement

Wen Liu1, Yafan Yue2, Suogang Gao3
1Math. and Inf. College, Hebei Normal University, Shijiazhuang, 050016. P.R. China;
2Beihua Institute of Astronautic Engineering, LangFang, 065000, P.R.China
3 Math. and Inf. College, Hebei Normal University, Shijiazhuang, 050016. P.R. China;

Abstract

Anthony J. Macula constructed a \(d\)-disjunct matrix \(\delta(n,d,k)\) in \([1]\), and we now know it is determined by one type of pooling space. In this paper, we give some properties of \(\delta(n,d,k)\) and its complement \(\delta^c(n,d,k)\).