Codes for Deletion and Insertion Channels with Segmented Errors

We consider deletion channels and insertion channels under an additional segmentation assumption: the input consists of disjoint segments of b consecutive bits, with at most one error per segment. Under this assumption, we demonstrate simple and computationally efficient deterministic encoding and decoding schemes that achieve a high provable rate even under worst-case errors. We also consider more complex schemes that experimentally achieve higher rates under random error.