Some more 5-GDDs, 4-frames and 4-RGDDs

Hengjia Wei; Gennian Ge

doi:10.1016/j.disc.2014.07.014

Some more 5-GDDs, 4-frames and 4-RGDDs

Hengjia Wei, Gennian Ge

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we continue to investigate the existence of 5-GDDs, 4-frames and 4-RGDDs, which have been studied by numerous researchers in the past two decades due to their vital applications in the constructions for other types of designs. Much progress has been made for the existence problems of these designs, while the problems are still open. Our new results mainly lie in the cases with relatively large group size. We also construct some smaller designs, including 4-RGDDs of types 2¹⁸⁴, 9⁴⁴, 14¹⁰, 18¹⁸, 22¹⁰ and 36¹¹.

Original language	English
Pages (from-to)	7-21
Number of pages	15
Journal	Discrete Mathematics
Volume	336
DOIs	https://doi.org/10.1016/j.disc.2014.07.014
State	Published - 6 Dec 2014
Externally published	Yes

Keywords

Double frames
Double group divisible designs
Frames
Group divisible designs
Resolvable group divisible designs

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2014.07.014

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title = "Some more 5-GDDs, 4-frames and 4-RGDDs",

abstract = "In this paper, we continue to investigate the existence of 5-GDDs, 4-frames and 4-RGDDs, which have been studied by numerous researchers in the past two decades due to their vital applications in the constructions for other types of designs. Much progress has been made for the existence problems of these designs, while the problems are still open. Our new results mainly lie in the cases with relatively large group size. We also construct some smaller designs, including 4-RGDDs of types 2184, 944, 1410, 1818, 2210 and 3611.",

keywords = "Double frames, Double group divisible designs, Frames, Group divisible designs, Resolvable group divisible designs",

author = "Hengjia Wei and Gennian Ge",

note = "Funding Information: The research was supported by the National Natural Science Foundation of China under Grant No. 61171198 and Zhejiang Provincial Natural Science Foundation of China under Grant No. LZ13A010001 .",

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AU - Wei, Hengjia

AU - Ge, Gennian

N1 - Funding Information: The research was supported by the National Natural Science Foundation of China under Grant No. 61171198 and Zhejiang Provincial Natural Science Foundation of China under Grant No. LZ13A010001 .

PY - 2014/12/6

Y1 - 2014/12/6

N2 - In this paper, we continue to investigate the existence of 5-GDDs, 4-frames and 4-RGDDs, which have been studied by numerous researchers in the past two decades due to their vital applications in the constructions for other types of designs. Much progress has been made for the existence problems of these designs, while the problems are still open. Our new results mainly lie in the cases with relatively large group size. We also construct some smaller designs, including 4-RGDDs of types 2184, 944, 1410, 1818, 2210 and 3611.

AB - In this paper, we continue to investigate the existence of 5-GDDs, 4-frames and 4-RGDDs, which have been studied by numerous researchers in the past two decades due to their vital applications in the constructions for other types of designs. Much progress has been made for the existence problems of these designs, while the problems are still open. Our new results mainly lie in the cases with relatively large group size. We also construct some smaller designs, including 4-RGDDs of types 2184, 944, 1410, 1818, 2210 and 3611.

KW - Double frames

KW - Double group divisible designs

KW - Frames

KW - Group divisible designs

KW - Resolvable group divisible designs

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SP - 7

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JO - Discrete Mathematics

JF - Discrete Mathematics

ER -

Some more 5-GDDs, 4-frames and 4-RGDDs

Abstract

Keywords

ASJC Scopus subject areas

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