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Asymptotic results on the existence of 4‐RGDDs and uniform 5‐GDDs
In this paper, we continue to investigate the existence of 4‐RGDDs and uniform 5‐GDDs. It
is proved that the necessary conditions for the existence of such designs are also sufficient …
is proved that the necessary conditions for the existence of such designs are also sufficient …
Semi-cyclic holey group divisible designs with block size three
T Feng, X Wang, Y Chang - Designs, Codes and Cryptography, 2015 - Springer
In this paper we discuss the existence problem for a semi-cyclic holey group divisible design
of type (n, m^ t)(n, mt) with block size 3 3, which is denoted by a 3 3-SCHGDD of type (n, m …
of type (n, m^ t)(n, mt) with block size 3 3, which is denoted by a 3 3-SCHGDD of type (n, m …
[HTML][HTML] The existence of HGDDs with block size four and its application to double frames
H Cao, L Wang, R Wei - Discrete mathematics, 2009 - Elsevier
The existence of HGDDs with block size four and its application to double frames -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
[HTML][HTML] Some more 5-GDDs, 4-frames and 4-RGDDs
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 …
which have been studied by numerous researchers in the past two decades due to their vital …
The existence of four HMOLS with equal sized holes
RJR Abel, FE Bennett, G Ge - Designs, Codes and Cryptography, 2002 - Springer
In this paper, we present several new constructions for k holey mutually orthogonal Latin
squares (HMOLS) of type gn. We concentrate mainly on k= 4; here, for all but two values of …
squares (HMOLS) of type gn. We concentrate mainly on k= 4; here, for all but two values of …
Some new uniform frames with block size four and index one or three
In this paper, some new uniform frames with block size four and index one or three are
obtained. The known existence results for (4, 1)‐frames and (4, 3)‐frames are both improved …
obtained. The known existence results for (4, 1)‐frames and (4, 3)‐frames are both improved …
Semi–cyclic Holey Group Divisible Designs and Applications to Sampling Designs and Optical Orthogonal Codes
T Feng, X Wang, R Wei - Journal of Combinatorial Designs, 2016 - Wiley Online Library
We consider the existence problem for a semi‐cyclic holey group divisible design of type
with block size 3, which is denoted by a 3‐SCHGDD of type. When t is odd and or t is doubly …
with block size 3, which is denoted by a 3‐SCHGDD of type. When t is odd and or t is doubly …
Group divisible designs with block size five
AD Forbes - arxiv preprint arxiv:2202.13911, 2022 - arxiv.org
arxiv:2202.13911v2 [math.CO] 5 Jul 2022 Page 1 arxiv:2202.13911v2 [math.CO] 5 Jul 2022
GROUP DIVISIBLE DESIGNS WITH BLOCK SIZE FIVE AD FORBES Abstract. We report some …
GROUP DIVISIBLE DESIGNS WITH BLOCK SIZE FIVE AD FORBES Abstract. We report some …
Generalized perfect difference families and their application to variable-weight geometric orthogonal codes
X Su, L Wang, Z Tian - Discrete Mathematics, 2022 - Elsevier
Motivated by the application in geometric orthogonal codes (GOCs), Wang et al. introduced
the concept of generalized perfect difference families (PDFs), and established the …
the concept of generalized perfect difference families (PDFs), and established the …
[PDF][PDF] p2-cycle decompositions of the tensor product of complete graphs.
p -Cycle decompositions of the tensor product of complete graphs Page 1 AUSTRALASIAN
JOURNAL OF COMBINATORICS Volume 73(1) (2019), Pages 107–131 p 2 -Cycle decompositions …
JOURNAL OF COMBINATORICS Volume 73(1) (2019), Pages 107–131 p 2 -Cycle decompositions …