Some Series of Cyclic Partially Balanced Designs
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Authors
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Shyam Saurabh
Tata College, Kolhan University, Chaibasa, Jharkhand
Keywords:
Cyclic solution; Balanced incomplete block design; Group divisible design; Dihedral group; Galois fieldAbstract
Some methods of constructions of cyclic balanced incomplete block (BIB) designs, group divisible designs and rectangular designs are described. As
a particular case, cyclic solution of the BIB designwith parameters: 45, 11, 5, 99, 1 v r k b λ = = = = = , and listed as H51 in the table of Hall (1998), is
obtained.The present solution is different from the earlier solutions reported in Dey (1986) and Hall (1998).
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