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“School of Mathematics”

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Paper   IPM / M / 2312
School of Mathematics
  Title:   On a class of symmetric balanced generalized weighing matrices
  Author(s):  H. Kharaghani
  Status:   Published
  Journal: Des. Codes Cryptogr.
  No.:  2
  Vol.:  30
  Year:  2003
  Pages:   139-149
  Supported by:  IPM
  Abstract:
Let q be a prime power and m a positive integer. A construction method is given to "multiply" the parameters of an ω-circulant BGW(v=1+q+q2+.+qm, qm,qmqm−1) over the cyclic group Cn of order n with (q−1)/n being an even integer, by the parameters of a symmetric BGW(1+qm+1,qm+1,qm+1qm) with zero diagonal over a cyclic group Cvn to generate a symmetric BGW(1+q+.+q2m+1,q2m+1, q2m+1q2m) with zero diagonal, over the cyclic group Cn. Applications include two new infinite classes of strongly regular graphs with parameters SRG(36(1+25+.+252m+1),15(25)2m+1,6(25)2m+1,6(25)2m+1), and SRG(36(1+49+.+492m+1),21(49)2m+1,12(49)2m+1,12(49)2m+1).

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