The spectrum of semicyclic holey group divisible designs with block size three

descriptionPublicationkeyboard_double_arrow_right Article 31 Oct 2019 English Publisher:WileyJournal:Journal of Combinatorial Designs, volume 28, pages 49-74 (issn: 1063-8539, eissn: 1520-6610,

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Authors: Lidong Wang; Tao Feng; Rong Pan; Xiaomiao Wang;

doi: 10.1002/jcd.21680

The spectrum of semicyclic holey group divisible designs with block size three

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Abstract

AbstractWe determine a necessary and sufficient condition for the existence of semicyclic holey group divisible designs with block size three and group type . New recursive constructions on semicyclic incomplete holey group divisible designs are introduced to settle this problem completely.

Related Organizations

Chinese People's Armed Police Force Academy
China (People's Republic of)
Beijing Jiaotong University
China (People's Republic of)
Yunnan Open University
China (People's Republic of)
Ningbo University
China (People's Republic of)

Keywords

holey group divisible design, incomplete, Combinatorial codes, double group divisible design, Orthogonal arrays, Latin squares, Room squares, Combinatorial aspects of block designs, semicyclic

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