Methods, systems, and apparatus for error correction are provided. In one aspect, an error correction method includes: obtaining an output signal and an amplitude value of a feed forward equalizer (FFE), the amplitude value being a channel response amplitude value corresponding to an equivalent channel of the FFE, performing level decision on the output signal based on the amplitude value to obtain a first decision signal including (2M−1) decision symbols, M being an integer not less than 2, performing (1/(1+D)) decoding on the first decision signal to obtain a first decoded signal, determining a second decision signal based on the first decoded signal, the second decision signal including (M−1) decision symbols, determining that a burst error occurs in the second decision signal if an absolute value of the second decision signal is greater than (M−1), and correcting the burst error in the second decision signal.