ON METHODS OF CONSTRUCTION OF SEMIREGULAR AND REGULAR GROUP DIVISIBLE DESIGNS

被引：0
|
作者：
Prasad, Jagdish [2 ]
Ghosh, D. K. [3 ]
Pareek, Sarla [1 ]
Raj, Swati [1 ]
机构：
[1] Banasthali Univ, Ctr Math Sci, Banasthali 304022, Rajasthan, India
[2] Univ Rajasthan, Dept Stat, Jaipur 302004, Rajasthan, India
[3] Saurashtra Univ, Dept Math & Stat, Rajkot 360005, Gujarat, India
来源：
INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES | 2011年 / 7卷 / 01期
关键词：
Symmetrical BIB design; Association Scheme; Group divisible design; Galois field;
D O I：
暂无
中图分类号：
S [农业科学];
学科分类号：
09 ;
摘要：
Group Divisible design is the simplest among the partially balanced incomplete block design with analysis point of view. Considering the fact, we have constructed Group Divisible design using difference set for a BIB design and symmetrical balanced incomplete block design. Here, we have also shown that RGD design at serial number 5, 7, 8 of Corollary 5.3 of Dey (1986) can also be obtained from theorems 2.1 & 2.2 discussed in this investigation. Moreover, we also constructed 11 more RGD and Semi RGD design in the range of 4 <= r, k <= 28.
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页码：179 / 186
页数：8
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