Abstract: An encoder and decoder for encoding data bits of a binary source signal into a stream of data bits of a binary channel signal and vice versa includes a conversion table used to map m-bit source words to codeword having a variable code length with a basic code length of n bits and a total code length of n*i bits, i being an integer of at least 1. The conversion table preserves the parity of the m-bit source words over the codeword and limits a characteristic of the codeword specified for each starting bit position in the code word.

Abstract: An apparatus for data recovery includes a multi-level comparison unit, a detection logic unit, and a data composer. The multi-level comparison unit compares an input signal with M different reference signal levels to generate M digital data, the number M being greater than or equal to 2. The detection logic unit is coupled to the multi-level comparison unit, and performs logic operations upon specified lengths over the M digital data obtained from the multi-level comparison unit. The data composer is coupled to the multi-level comparison unit and the detection logic unit. The data composer generates recovered data conforming with a run length encoding constraint based on the M digital data obtained from the multi-level comparison unit and the result obtained from the detection logic unit.

Abstract: An encoding and decoding method of record medium having the concept of type and set is disclosed. The disclosed not only satisfy the DK-Constraint, the coding rate and DC-free control are better through the auxiliary conditions of type dependency and digital sum value. The available storage space of the record medium consequently increases. In the decoding procedures, the accuracy and efficiency are better through the auxiliary conditions of type dependency and forbidden type set. Thus, the decoding error consequently decreases.

Abstract: A data recording method of optical storage medium is disclosed. The method employs the orthogonal frequency division multiplexing (OFDM) to record the data in order to increase the usage efficiency of the storage channel. The method evolves dividing a storage channel into multiple sub-channels, and then determining the recordable bits of the multiple sub-channels according to the signal to noise ratio of the storage channel; next, an input signal to be recorded on the optical storage medium is transformed from frequency domain to time domain such that a time-domain signal is obtained; at last, recording the time-domain signal on the optical storage medium through a compositive modulation of pulse width and pulse amplitude.

Abstract: The present invention pertains to a distance-enhancing coding method that can be applied to digital recording and digital communications. It improves the time-varying maximum transition run method used in a conventional distance-enhancing coding to avoid main error events ±(1,−1) from happening. Under the premise of maintaining a code gain of 1.8 dB, the code rate can be increased from ¾ to ⅘. The invention also provides a method of using an enumeration algorithm and an exhaustive method to search for block codes for distance-enhancing coding, which can find required codes by following specific steps.

Abstract: The present invention pertains to a distance-enhancing coding method that can be applied to digital recording and digital communications. It improves the time-varying maximum transition run method used in a conventional distance-enhancing coding to avoid main error events ±(1,−1) from happening. Under the premise of maintaining a code gain of 1.8 dB, the code rate can be increased from 3/4 to 4/5. The invention also provides a method of using an enumeration algorithm and an exhaustive method to search for block codes for distance-enhancing coding, which can find required codes by following specific steps.