The directions of arrival (DOA) of several plane waves can be estimated by solving the complex-valued LASSO. We propose a new method for estimating the DOA based on solving the dual LASSO instead. This provides soft information on the active source locations. We utilize this information through Reed-Solomon error evaluation algorithms, e.g., the Gorenstein-Zierler or Iterative Erasure Evaluation algorithms. There is no channel encoding implemented in this DOA problem. However, we show that applying the Gorenstein-Zierler algorithm to the dual LASSO solution leads to improved DOA estimates compared to conventional LASSO.