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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 49 | Number 3 | Year 2017 | Article Id. IJMTT-V49P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P528

On the Construction of Conference Matrices of Order 10 and 14 from Coherent Configuration


P. K. Manjhi, Arjun Kumar
Abstract

In this paper we forward a method of construction of conference matrices of order 10 and 14 by suitable combinations of adjacency matrices of suitable coherent configuration.

Keywords
Coherent configuration, Weighing matrix, Conference matrix, Symmetric conference matrix.
References

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[3] Balonin N.A.and Jennifer Seberry,Conference Matrices with two Border and Four ciculants.
[4] Belevitch V.,Conference networks and Hadamard matrices,Ann.Soc.Sci.Brux.T.82(1968),13-32.
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[6] Manjhi P.K.and ,Kumar A,On the Construction of Weighing matrices from Coherent Configuration,International journal of Mathematics Trends and Technology (IJMTT)-Volume 48 Number 5 August 2017,281-287.
[7] Mathon, R.Symmetric Conference matrices of order 12pq,Canad.J.math,30(1978)321-331
[8] Peter J.Cameron,Conference matrices,CSG,Oct 2011
[9] Seberry J. and Whiteman A.L,New Hadamard matrices and conference matrices obtained vai Mathons construction,Graphs combin.4(1988),355-377.
[10] Singh M.K.and Manjhi P.K.:Generalized Directed Association Scheme and its Multiplicative form,International journal of mathematical science and Engineering Applications,ISSN 0973-9424,Vol.No.iii(May,2012),pp.99-113.

Citation :

P. K. Manjhi, Arjun Kumar, "On the Construction of Conference Matrices of Order 10 and 14 from Coherent Configuration," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 3, pp. 195-199, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P528

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