Abstract
This paper produces new types of designs, called product designs, which prove extremely useful for constructing orthogonal designs. An orthogonal design of order 2t and typeis constructed. This design often meets the Radon bound for the number of variables.We also show that all orthogonal designs of order 2t and type (a, b, c, d, 2t-a-b-c-d), with 0 < a + b + c + d < 2t, exist for t = 5, 6, and 7.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. [4] Wolfe Warren W. , “Orthogonal designs - amicable orthogonal designs -some algebraic and combinatorial techniques”, (PhD Dissertation, Queen's University, Kingston, Ontario, 1975).
2. [3] Robinson Peter J. , “Concerning the existence and construction of orthogonal designs”, (PhD thesis, Australian National University, Canberra, 1977).
3. Orthogonal designs;Geramita;Linear and Multilinear Algebra,1975
4. Some new constructions for orthogonal designs
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献