  The origin and sustenance of large scale galactic magnetic fields has been a
long standing and controversial astrophysical problem. Here an alternative to
the ``standard'' $\a-\Omega$ mean field dynamo and primordial theories is
pursued. The steady supply of supernovae induced turbulence exponentiates the
total field energy, providing a significant seed mean field that can be
linearly stretched by shear. The observed micro-Gauss fields would be produced
primarily within one vertical diffusion time since it is only during this time
that linear stretching can compete with diffusion. This approach does not
invoke exponential mean field dynamo growth from the helicity $\a$-effect but
does employ turbulent diffusion, which limits the number of large scale
reversals. The approach could be of interest if the helicity effect is
suppressed independently of the turbulent diffusion. This is an important but
presently unresolved issue.
