Construction of three-associate class PBIB designs by generating a set of square matrices

Autor:	Kush Sharma, Davinder Kumar Garg
Rok vydání:	2022
Předmět:	History Computer Science Applications Education
Zdroj:	Journal of Physics: Conference Series. 2267:012081
ISSN:	1742-6596 1742-6588
Popis:	The present paper deals with the construction of three-associate class PBIB designs. For this, we have first discussed a procedure to generate a set of square matrices. The construction of this set of matrices has been completely generalized. Then using this set of matrices, we have proposed a new three-associate class association scheme based on which we have constructed some series of PBIB designs. The complementary designs of the proposed PBIB designs have also been discussed. At the end of the paper, a table has been given which enlists some of the PBIB designs constructed in this paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed3c2df592784f1763deaa85a17cba42 https://doi.org/10.1088/1742-6596/2267/1/012081 Zobrazit plný text záznamu