On a characterization of symmetric balanced incomplete block designs

R.N. Mohan; Sanpei Kageyama; M.M. Nair

Discussiones Mathematicae Probability and Statistics (2004)

  • Volume: 24, Issue: 1, page 41-58
  • ISSN: 1509-9423

Abstract

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All the symmetric balanced incomplete block (SBIB) designs have been characterized and a new generalized expression on parameters of SBIB designs has been obtained. The parameter b has been formulated in a different way which is denoted by bi, i = 1, 2, 3, associating with the types of the SBIB design Di. The parameters of all the designs obtained through this representation have been tabulated while corresponding them with the suitable formulae for the number ofblocks bi and the expression Si for the convenience of practical users for constructional methods of certain designs, which is the main theme of this paper.

How to cite

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R.N. Mohan, Sanpei Kageyama, and M.M. Nair. "On a characterization of symmetric balanced incomplete block designs." Discussiones Mathematicae Probability and Statistics 24.1 (2004): 41-58. <http://eudml.org/doc/287752>.

@article{R2004,
abstract = {All the symmetric balanced incomplete block (SBIB) designs have been characterized and a new generalized expression on parameters of SBIB designs has been obtained. The parameter b has been formulated in a different way which is denoted by bi, i = 1, 2, 3, associating with the types of the SBIB design Di. The parameters of all the designs obtained through this representation have been tabulated while corresponding them with the suitable formulae for the number ofblocks bi and the expression Si for the convenience of practical users for constructional methods of certain designs, which is the main theme of this paper.},
author = {R.N. Mohan, Sanpei Kageyama, M.M. Nair},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {symmetric balanced incomplete block (SBIB) design; symmetric balanced incomplete block design; affine -resolvable balanced incomplete block design},
language = {eng},
number = {1},
pages = {41-58},
title = {On a characterization of symmetric balanced incomplete block designs},
url = {http://eudml.org/doc/287752},
volume = {24},
year = {2004},
}

TY - JOUR
AU - R.N. Mohan
AU - Sanpei Kageyama
AU - M.M. Nair
TI - On a characterization of symmetric balanced incomplete block designs
JO - Discussiones Mathematicae Probability and Statistics
PY - 2004
VL - 24
IS - 1
SP - 41
EP - 58
AB - All the symmetric balanced incomplete block (SBIB) designs have been characterized and a new generalized expression on parameters of SBIB designs has been obtained. The parameter b has been formulated in a different way which is denoted by bi, i = 1, 2, 3, associating with the types of the SBIB design Di. The parameters of all the designs obtained through this representation have been tabulated while corresponding them with the suitable formulae for the number ofblocks bi and the expression Si for the convenience of practical users for constructional methods of certain designs, which is the main theme of this paper.
LA - eng
KW - symmetric balanced incomplete block (SBIB) design; symmetric balanced incomplete block design; affine -resolvable balanced incomplete block design
UR - http://eudml.org/doc/287752
ER -

References

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