A codeword may have errors and erasures. In embodiments, an apparatus may include a syndrome calculator configured to generate partial syndromes of the codeword, an erasure locator configured to generate an erasure locator polynomial, and a syndrome modifier configured to generate modified partial syndromes based at least in part on the partial syndromes and the erasure locator polynomial. The apparatus may further include an error locator configured to generate an error locator polynomial using the modified partial syndromes, for error and erasure decoding of the codeword.