Access the full text.
Sign up today, get DeepDyve free for 14 days.
In this paper, we first introduce a special structure that allows us to construct a large set of resolvable Mendelsohn triple systems of orders 2q + 2, or LRMTS(2q + 2), where q = 6t + 5 is a prime power. Using a computer, we find examples of such structure for t ∈ T = {0, 1, 2, 3, 4, 6, 7, 8, 9, 14, 16, 18, 20, 22, 24}. Furthermore, by a method we introduced in [13], large set of resolvable directed triple systems with the same orders are obtained too. Finally, by the tripling construction and product construction for LRMTS and LRDTS introduced in [2, 20, 21], and by the new results for LR-design in [8], we obtain the existence for LRMTS(v) and LRDTS(v), where v = $$ 12(t + 1)\prod\limits_{m_i \geqslant 0} {(2 \cdot 7^{m_i } + 1)} \prod\limits_{n_i \geqslant 0} {(2 \cdot 13^{n_i } + 1)} $$ and t ∈ T, which provides more infinite family for LRMTS and LRDTS of even orders.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Aug 6, 2008
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.