An error correction coding system employs a single check symbol from an arbitrary sequence of information symbols to provide single error correction at the symbol level. The sequence of information symbols may in fact also be arbitrarily long. The coding system of the present invention provides both a method and apparatus for encoding the check symbol and a method and apparatus for error correction based upon the single coded symbol character. The system is particularly applicable for use in conjunction with bar code recognition systems but is in fact applicable to a broad range of coding systems, including optical character recognition and ordinary alphanumeric codes.