๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some new three and four variable orthogonal designs in order 36

โœ Scribed by Christos Koukouvinos

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
77 KB
Volume
73
Category
Article
ISSN
0378-3758

No coin nor oath required. For personal study only.

โœฆ Synopsis

We give new sets of sequences with entries from {0; ยฑa; ยฑb; ยฑc; ยฑd} on the commuting variables a; b; c; d and zero autocorrelation function. Then we use these sequences to construct some new orthogonal designs. Among the others, the following new four variable orthogonal designs in order 36 are constructed:

๐Ÿ“œ SIMILAR VOLUMES

Some new orthogonal designs in orders 32
Some new orthogonal designs in orders 32 and 40
โœ H. Kharaghani; B. Tayfeh-Rezaie ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

A result of Robinson states that no OD(n; 1; 1; 1; 1; 1; n-5) exists for n ยฟ 40. We complement this result by showing the existence of OD(n; 1; 1; 1; 1; 1; n -5) for n = 32; 40. This includes a resolution to an old open problem regarding orthogonal designs of order 32 as well. We also obtain a numbe