A new doubly resolvable candelabra quadruple systems

Zhaoping Meng; Qingling Gao

Examples and Counterexamples (Nov 2023)

A new doubly resolvable candelabra quadruple systems

Zhaoping Meng,
Qingling Gao

Affiliations

Zhaoping Meng: School of Information Engineering, Shandong Youth University of Political Science, Ji’nan 250103, PR China; Corresponding author.
Qingling Gao: School of mathematics, Qilu Normal University, Ji’nan 250200, PR China

Journal volume & issue: Vol. 3
p. 100116

Abstract

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Two resolutions of the same design are said to be orthogonal when each parallel class of one resolution has at most one block in common with each parallel class of the other resolution. If a candelabra quadruple system has two mutually orthogonal resolutions, the design is called doubly resolvable candelabra quadruple system and denoted by DRCQS. In this paper, we obtain a DRCQS(35:1)by computer search.

Published in Examples and Counterexamples

ISSN: 2666-657X (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/examples-and-counterexamples

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