One method of constructing cyclic PBIB-schemes
type: Item
instance of: scholarly article
title: One method of constructing cyclic PBIB-schemes
zbMATH Open document ID: 0594.05014
DOI: 10.1007/BF01157689
author: B. T. Rumov
published in: Mathematical Notes
publication date: 1985-01-01T00:00:00Z
review text: The author gives a construction for resolvable cyclic partially balanced block designs with two association classes and parameters \(v=p^{mn}-1\), \(k=p^ m-1\), \(n_ 1=p^{mn}-p^ m-1\), \(n_ 2=p^ m-1\), \(\lambda_ 1=p^ m-2\), \(\lambda_ 2=p^ m-1\), where p is prime and m, and n are positive integers. The construction uses elementary properties of finite fields and is illustrated by a well chosen example.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 3954933
zbMATH Keywords: partially balanced incomplete block designs
zbMATH Keywords: PBIBD
zbMATH Keywords: difference
zbMATH Keywords: sets
MaRDI profile type: Publication
cites work: Q4135567
cites work: Q4742795
full work available at URL: https://doi.org/10.1007/bf01157689
OpenAlex ID: W2088319194
description: scientific article; zbMATH DE number 3954933