From planar nearrings to generating blocks
type: Item
instance of: scholarly article
title: From planar nearrings to generating blocks
zbMATH Open document ID: 1228.05081
author: Hsin-Min Sun
published in: Taiwanese Journal of Mathematics
publication date: 2011-06-21T00:00:00Z
review text: Finite planar nearrings have strong connection with balanced incomplete block designs (BIBDs for short). Several ways of obtaining BIBDs from given finite planar nearrings has been developed [cf. \textit{J. R. Clay}, Nearrings: geneses and applications. Oxford Science Publications. Oxford: Oxford University Press (1992; Zbl 0790.16034)]. In this article, further construction methods are presented. The BIBDs constructed here are the developments of certain subsets of finite fields, referred to as ``zero sum generating blocks.'' These generating blocks are further classified to be of first type and of second type. Then the possible parameters of such BIBDs are discussed thoroughly in two sections.
reviewed by: Wen-Fong Ke
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 12E20
Mathematics Subject Classification ID: 51E05
zbMATH DE Number: 5910184
zbMATH Keywords: balanced incomplete block design
zbMATH Keywords: zero sum generating block
zbMATH Keywords: planar nearring
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406013
OpenAlex ID: W4242606000
DOI: 10.11650/TWJM/1500406013
description: scientific article; zbMATH DE number 5910184