• A NEW CLASS OF PSEUDO CYCLIC ASSOCIATION SCHEME

DINESH PRASAD*, SHYAM SAURABH, MITHILESH KUMAR SINGH

Abstract


A class of pseudo cyclic association scheme is obtained on p2 elements where p is a prime number, which is contained in a broad class of strongly balanced association schemes that seem to be related to H-matrices. Also from this class we have constructed an infinite series of 2- (p2, p2(p+1), p2-1, p-1, p-2 ) –design and a set of four Williamson type matrices of order p2.


Keywords


Association Schemes (AS), Pseudo Cyclic Association Scheme (PCAS), Block Circulant Matrix, Generalized Orthogonal Combinatorial Matrix(GOCM), Row and column regular GOCM.

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