Pairwise disjoint 3-GDDs can be used to construct some optimal constant-weight codes. We study the existence of a pair of disjoint 3-GDDs of type g (t) u (1) and establish that its necessary conditions are also sufficient.
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Title
A pair of disjoint 3-GDDs of type gtu1
Creators - without role
Yanxun Chang - Beijing Jiaotong University
Yeow Meng Chee - Nanyang Technological University
Junling Zhou - Beijing Jiaotong University
Publication Details
Designs, codes, and cryptography, Vol.60(1), pp.37-62
Publisher
Springer Nature
Number of pages
26
Grant note
10771013; 10831002 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC)
NRF-CRP2-2007-03 / National Research Foundation of Singapore; National Research Foundation, Singapore
M58110040 / Nanyang Technological University