NUI Maynooth

NUIM ePrints and eTheses Archive

NUIM Library

Pseudo Quasi-3 Designs and their Applications to Coding Theory

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

[img] Download (116kB)

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;
Subjects: Science & Engineering > Mathematics
Item ID: 2634
Identification Number: DOI 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:

Repository Staff Only(login required)

View Item Item control page

Document Downloads

More statistics for this item...