Bracken, Carl (2009) Pseudo Quasi-3 Designs and their Applications to Coding Theory. Journal of Combinatorial Designs, 17 (5). pp. 411-418. ISSN 1063-8539

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Abstract

We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi-3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound.

Item Type:	Article
Additional Information:	Preprint version of published article, © 2009 Wiley Periodicals, Inc.
Keywords:	quasi-symmetric design; quasi-3 design; Grey Rankin bound; error correcting code;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	2634
Identification Number:	https://doi.org/10.1002/jcd.20208
Depositing User:	Library Editor
Date Deposited:	12 Aug 2011 15:55
Journal or Publication Title:	Journal of Combinatorial Designs
Publisher:	Wiley Blackwell
Refereed:	No
URI:	http://onlinelibrary.wiley.com/ http://onlinelibrary.wiley.com/journal/1...
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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