Some new constructions of orthogonal designs

Authors

Tianbing Xia, University of WollongongFollow
Jennifer Seberry, University of WollongongFollow
Mingyuan Xia, Central China Normal UniversityFollow
Shangli Zhang, Beijing Jiaotong UniversityFollow

RIS ID

75090

Publication Details

Xia, T., Seberry, J., Xia, M. & Zhang, S. (2013). Some new constructions of orthogonal designs. Australasian Journal of Combinatorics, 55 121-130.

Abstract

In this paper we construct OD(4pq^r(q+1); pq^r, pq^r, pq^r, pq^r, pq^r+1, pq^r+1, pq^r+1, pq^r+1) for each core order q ≡ 3(mod 4), r ≥ 0 or q = 1, p odd, p ≤ 21 and p ∈ {25, 49}, and COD(2q^r(q + 1); q^r, q^r, q^r+1, q^r+1) for any prime power q ≡ 1 (mod 4) (including q = 1), r ≥ 0.