Existence of Five MOLS of Orders 18 and 60. Issue 4 (23rd December 2013)
- Record Type:
- Journal Article
- Title:
- Existence of Five MOLS of Orders 18 and 60. Issue 4 (23rd December 2013)
- Main Title:
- Existence of Five MOLS of Orders 18 and 60
- Authors:
- Julian, R.
Abel, R. - Abstract:
- <abstract abstract-type="main"> <title>Abstract</title> <p>In this article, we provide direct constructions for five mutually orthogonal Latin squares (MOLS) of orders <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjf85jgjd" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:10638539:media:jcd21384:jcd21384-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:math></alternatives></inline-formula> and 60. For <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjf85jggc" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:10638539:media:jcd21384:jcd21384-math-0002" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn>60</mml:mn></mml:mrow></mml:math></alternatives></inline-formula>, these come from a new (60, 6, 1) difference matrix. For <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjf85jghw" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:10638539:media:jcd21384:jcd21384-math-0003" overflow="scroll"<abstract abstract-type="main"> <title>Abstract</title> <p>In this article, we provide direct constructions for five mutually orthogonal Latin squares (MOLS) of orders <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjf85jgjd" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:10638539:media:jcd21384:jcd21384-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:math></alternatives></inline-formula> and 60. For <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjf85jggc" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:10638539:media:jcd21384:jcd21384-math-0002" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn>60</mml:mn></mml:mrow></mml:math></alternatives></inline-formula>, these come from a new (60, 6, 1) difference matrix. For <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjf85jghw" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:10638539:media:jcd21384:jcd21384-math-0003" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:math></alternatives></inline-formula>, the required construction is obtained by combining two different methods that were used in the constructions of four MOLS(14) and eight MOLS(36).</p> </abstract> … (more)
- Is Part Of:
- Journal of combinatorial designs. Volume 23:Issue 4(2015:Apr.)
- Journal:
- Journal of combinatorial designs
- Issue:
- Volume 23:Issue 4(2015:Apr.)
- Issue Display:
- Volume 23, Issue 4 (2015)
- Year:
- 2015
- Volume:
- 23
- Issue:
- 4
- Issue Sort Value:
- 2015-0023-0004-0000
- Page Start:
- 135
- Page End:
- 139
- Publication Date:
- 2013-12-23
- Subjects:
- Combinatorial designs and configurations -- Periodicals
Configurations et schémas combinatoires -- Périodiques
511.6 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1520-6610 ↗
http://www3.interscience.wiley.com/cgi-bin/jhome/38682 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/jcd.21384 ↗
- Languages:
- English
- ISSNs:
- 1063-8539
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 3163.xml