  Locally repairable codes have been extensively investigated due to practical
applications in distributed and cloud storage systems in recent years. However,
not much work on asymptotic behavior of locally repairable codes has been done.
In particular, there is few result on constructive lower bound of asymptotic
behavior of locally repairable codes with multiple recovering sets. In this
paper, we construct some families of asymptotically good locally repairable
codes with multiple recovering sets via automorphism groups of function fields
of the Garcia-Stichtenoth towers. The main advantage of our construction is to
allow more flexibility of localities.
