  Projective two-weight linear codes are closely related to finite projective
spaces and strongly regular graphs. In this paper, a family of $q$-ary
projective two-weight linear codes is presented, where $q$ is a power of 2. The
parameters of both the codes and their duals are excellent. As applications,
the codes are used to derive strongly regular graphs with new parameters and
secret sharing schemes with interesting access structures.
