Some new three and four variable orthogonal designs in order 36

Koukouvinos, C

dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:14:10Z
dc.date.available	2014-03-01T01:14:10Z
dc.date.issued	1998	en
dc.identifier.issn	0378-3758	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12905
dc.subject	62K15	en
dc.subject	Circulant matrix	en
dc.subject	Construction	en
dc.subject	Orthogonal design	en
dc.subject	Primary 62K05	en
dc.subject	Secondary 05B15	en
dc.subject	Sequence	en
dc.subject	Zero autocorrelation	en
dc.subject.classification	Statistics & Probability	en
dc.title	Some new three and four variable orthogonal designs in order 36	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0378-3758(98)00048-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0378-3758(98)00048-2	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	We give new sets of sequences with entries from {0,±a,±b,±c,±d} 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: (1,1,8,18)(1,2,11,22)(1,4,4,9)(1,5,5,25)(2,3,6,25)(4,6,8,12)(6,6,12,12)As a consequence, a series of the following new three variable orthogonal designs in order 36 is constructed: (1,1,26)(1,2,33)(1,5,25)(1,5,30)(1,8,18)(1,8,19)(1,10,25)(1,11,22)(1,11,24)(1, 13,22)(2,3,25)(2,3,31)(2,6,25)(2,6,28)(2,9,25)(2,11,22)(2,11,23)(2,12,22)(3,6, 16)(3,6,25)(3,6,27)(3,8,15)(3,8,25)(3,11,22)(4,6,11)(4,6,20)(4,8,18)(4,12,14)(5, 5,13)(5,5,25)(5,5,26)(5,6,25)(6,6,24)(6,8,16)(6,12,12)(6,12,18)(8,8,9)(8,9,9)(8, 10,12)(12,12,12)The new four variable orthogonal design (2,8,8,18) in order 56 is also presented.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Statistical Planning and Inference	en
dc.identifier.doi	10.1016/S0378-3758(98)00048-2	en
dc.identifier.isi	ISI:000076527100004	en
dc.identifier.volume	73	en
dc.identifier.issue	1-2	en
dc.identifier.spage	21	en
dc.identifier.epage	27	en