A family of 2-weight codes related to BCH-codes

For every prime-power q and every pair of natural numbers m ≤ n′, we construct a q-ary linear code of length qm(qn′ - 1)(qn′ - qn′-m + 1)/(q - 1) and dimension 3n′, whose only nonzero weights are q2n′+m-1 -q2n′-1 and q2n′+m-1 - q2n′-1 + qn′+m-1. These code parameters and those of the corresponding family of strongly regular graphs are new in odd characteristic