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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 11 | Number 2 | Year 2014 | Article Id. IJMTT-V11P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P516

On the Parameters of 2- Class Hadamard Association Schemes


S. N. Singh, Om Prakash Dubey
Abstract

We have all possible parameter of 2-class association schemes having the property that suitable (1, -1)- linear combinations of their association matrices yield the blocks of a Hadamard matrix (H-matrix) of certain classical form of Paley and Williamson. Some 2-class association schemes with the above parameters are identified. The known Hadamard Coherent Configurations or 2-Class Association Schemes (CC’s or 2-AS’s) listed in Table 2 do not yield H-matrices of new order. However we have forwarded new methods of constructing H-matrices of the forms II and III. The developed technique gives several easy constructions of H-matrix from any 2-AS, whose parameters are given.

Keywords
Parameter of Hadamard Matrix, Coherent Configuration, Association scheme.
References

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Citation :

S. N. Singh, Om Prakash Dubey, "On the Parameters of 2- Class Hadamard Association Schemes," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 2, pp. 112-116, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P516

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