here has been much recent progress on the classification of discrete series representations of classical groups. In particular, we have the following two partial classifications: One, due to Jiang and Soudry, of generic representations in terms of Shahidi's L-invariants, and second, due to DeBacker and Reeder, depth zero representations can be organized into into $L$-packets, which are characterized in terms of character distributions. In particular, the two results are expressed in terms of two different languages. We show that the two classifications coincide where they overlap, that is, for generic representations of depth 0. This result is relevant for the work on the Inverse Problem in Galois Theory.