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Some new orthogonal designs in orders 32 and 40

โœ Scribed by H. Kharaghani; B. Tayfeh-Rezaie

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
184 KB
Volume
279
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

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 number of new orthogonal designs of order 32.

๐Ÿ“œ SIMILAR VOLUMES

Some new three and four variable orthogo
Some new three and four variable orthogonal designs in order 36
โœ Christos Koukouvinos ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 77 KB

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 cons