Construction of Some (r,λ)-designs from Generalized Row Orthogonal Matrices

ShyamSaurabh; Dinesh Prasad; Mithilesh Kumar Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V53P542

International Journal of Mathematics Trends and Technology

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Volume 53 | Number 5 | Year 2018 | Article Id. IJMTT-V53P542 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P542

Construction of Some (r,λ)-designs from Generalized Row Orthogonal Matrices

ShyamSaurabh, Dinesh Prasad,Mithilesh Kumar Singh

Abstract

Some series of (r,λ)-designs have been constructed from Generalized Row Orthogonal Matrices and Balanced Incomplete Block Designs. It is shown that a Generalized Row Orthogonal Matrix is the incidence matrix of an (r, λ)-design under certain conditions.

Keywords

Generalized Row Orthogonal Matrices, Circulant Matrix, Symmetric Balanced Incomplete Block Design, (r,λ)-design, Generalized Row Orthogonal Constant Column Matrices.

References

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Citation :

ShyamSaurabh, Dinesh Prasad,Mithilesh Kumar Singh, "Construction of Some (r,λ)-designs from Generalized Row Orthogonal Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 5, pp. 339-342, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P542