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| Paper IPM / M / 2312 |
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| Abstract: | |
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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,qm−qm−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+1−qm) with zero diagonal over a cyclic group Cvn to
generate a symmetric BGW(1+q+.+q2m+1,q2m+1, q2m+1−q2m) 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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