On the Siamese Twin Designs

H. Kharaghani ()
Additional contact information
H. Kharaghani: University of Lethbridge, Department of Mathematics & Computer Science

A chapter in Finite Fields and Applications, 2001, pp 303-312 from Springer

Abstract: Abstract Let 4n 2 be the order of a Bush-type Hadamard matrix with q = (2n + 1)2 a prime power. It is shown that there is a weighing matrix $$ W(4)({q^{m}} + {q^{{m - 1}}} + \cdot \cdot \cdot + q + 1){n^{2}},4{q^{m}}{n^{2}}) $$ which can be used to construct a pair of symmetric designs with the parameters $$ v = 4({q^{m}} + {q^{{m - 1}}} + \cdot \cdot \cdot + q + 1){n^{2}},{\text{ }}\kappa = {q^{m}}(2{n^{2}} + n),{\text{ }}\lambda = {q^{m}}({n^{2}} + n) $$ for every positive integer m. As a corollary we get a new class of symmetric designs with parameters $$ v = 16({q^{m}} + {q^{{m - 1}}} + \cdot \cdot \cdot + q + 1){n^{2}},{\text{ }}\kappa {\text{ = }}{{\text{q}}^{{\text{m}}}}{\text{(8}}{{\text{n}}^{{\text{2}}}}{\text{ + 2n), }}\lambda {\text{ = }}{{\text{q}}^{{\text{m}}}}{\text{(4}}{{\text{n}}^{{\text{2}}}}{\text{ + 2n)}} $$ for all positive integers m and n, where 4n is the order a Hadamard matrix.

Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56755-1_23

Ordering information: This item can be ordered from
http://www.springer.com/9783642567551

DOI: 10.1007/978-3-642-56755-1_23

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().