Abstract: | Let q be a prime power and m a positive integer. A construction method is given to multiply the parametrs of an -circulant BGW(v=1+q+q
2+·+q
m
, q
m
, q
m
–q
m–1) over the cyclic group C
n
of order n with (q–1)/n being an even integer, by the parameters of a symmetric BGW(1+q
m+1, q
m+1, q
m+1–q
m
) with zero diagonal over a cyclic group C
vn to generate a symmetric BGW(1+q+·+q
2m+1,q
2m+1,q
2m+1–q
2m) with zero diagonal, over the cyclic group C
n
. Applications include two new infinite classes of strongly regular graphs with parametersSRG(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). |