Rate-13/15 maximum transition run code encoding and decoding method and apparatus

A rate-13/15 maximum transition run (MTR) code encoding apparatus comprising:

• a 13/15 encoder generating a rate-13/15 MTR code for outputting 13-bit data as a predetermined 15-bit codeword;
• and
• an MTR violation checking & converting unit checking whether a plurality of predetermined 15-bit codewords satisfy a predetermined constraint condition by connecting a current 15-bit codeword of the plurality of 15-bit codewords and a subsequent 15-bit codeword of the plurality of 15-bit codewords, converting specific bits of at least one of the current and the subsequent 15-bit codewords if the current and the subsequent 15-bit codewords violate the predetermined constraint condition, and not converting the current and the subsequent 15-bit codewords if the current and the subsequent 15-bit codewords do not violate the predetermined constraint condition, and
• the rate-13/15 MTR code comprises 8192 codewords.

A rate-13/15 maximum transition run (MTR) code decoding method comprising:

• (1) checking whether two codewords were MTR-code-converted to satisfy a predetermined MTR constraint condition when the two codewords were encoded by connecting a currently input 15-bit codeword and a subsequently input 15-bit codeword;
• (2) if the current and the subsequent 15-bit codewords were MTR-code-converted, converting specific bits of at least one of the current and the subsequent 15-bit codewords, and if the current and the subsequent 15-bit codewords were not MTR-code-converted, not converting the current and the subsequent 15-bit codewords;
• and
• (3) decoding each of a plurality of 15-bit codewords, which has passed through (2), into 13-bit data using a predetermined MTR code, wherein
• the predetermined MTR code comprises:
• 8192 codewords obtained by excluding optional 40 codewords from 8232 codewords, the 8232 codewords being obtained by excluding 230 codewords, each having ‘11011’ at a corresponding trailing edge, 420 codewords, each having 8 or more consecutive ‘0’s, and 22 codewords, each having 7 consecutive ‘0’s at a corresponding leading edge or a corresponding trailing edge, from selected 8904 codewords, the selected 8904 codewords being obtained by adding 7473 codewords, each having a number of 1s at corresponding leading two bits and/or a number of 1s at corresponding trailing two bits of at most 1, respectively, and 1431 codewords, each having ‘11’ at a corresponding trailing edge.

A rate-13/15 maximum transition run (MTR) code decoding apparatus comprising:

• an MTR condition checking & converting unit checking whether two codewords were MTR-code-converted to satisfy a predetermined MTR constraint condition when the two codewords were encoded by connecting a currently input 15-bit codeword and a subsequently input 15-bit codeword, converting specific bits of at least one of the current and the subsequent 15-bit codewords if the current and the subsequent 15-bit codewords were MTR-code-converted, and not converting the current and the subsequent 15-bit codewords if the current and the subsequent 15-bit codewords were not MTR-code-converted;
• and
• a 13/15 decoder decoding each of a plurality of 15-bit codewords output from the MTR condition checking & converting unit to 13-bit data using a predetermined MTR code, and
• the predetermined MTR code comprises:
• 8192 codewords obtained by excluding optional 40 codewords from 8232 codewords, the 8232 codewords being obtained by excluding 230 codewords, each having ‘11011’ at a corresponding trailing edge, 420 codewords, each having 8 or more consecutive ‘0’s, and 22 codewords, each having 7 consecutive ‘0’s at a corresponding leading edge or a corresponding trailing edge, from selected 8904 codewords, the selected 8904 codewords being obtained by adding 7473 codewords, each having a number of 1s at corresponding leading two bits and/or a number of 1s at corresponding trailing two bits of at most 1, respectively, and 1431 codewords, each having ‘11’ at a corresponding trailing edge.

A computer readable medium having recorded thereon a computer readable program for performing the method of rate-13/15 maximum transition run (MTR) code encoding comprising:

• (a) generating a predetermined rate-13/15 MTR code in which 13-bit data corresponds to 15-bit data;
• (b) outputting inputted 13-bit data as a 15-bit codeword according to the predetermined rate-13/15 MTR code;
• (c) checking whether a plurality of 15-bit codewords satisfy a predetermined constraint condition by connecting a current 15-bit codeword of the plurality of 15-bit codewords and a subsequent 15-bit codeword of the plurality of 15-bit codewords;
• and
• (d) converting specific bits of at least one of the current and the subsequent 15-bit codewords if the current and the subsequent 15-bit codewords violate the predetermined constraint condition and not converting the current and the subsequent 15-bit codewords if the current and the subsequent 15-bit codewords do not violate the predetermined constraint condition, and
• the rate-13/15 MTR code comprises 8192 codewords.

A computer readable medium having recorded thereon a computer readable program for performing the method of rate-13/15 maximum transition run (MTR) code decoding comprising:

• (1) checking whether two codewords were MTR-code-converted to satisfy a predetermined MTR constraint condition when the two codewords were encoded by connecting a currently input 15-bit codeword and a subsequently input 15-bit codeword;
• (2) if the current and the subsequent 15-bit codewords were MTR-code-converted, converting specific bits of at least one of the current and the subsequent 15-bit codewords, and if the current and the subsequent 15-bit codewords were not MTR-code-converted, not converting the current and the subsequent 15-bit codewords;
• and
• (3) decoding each of a plurality of 15-bit codewords, which has passed through (2), into 13-bit data using a predetermined MTR code, wherein
• the predetermined MTR code comprises:
• 8192 codewords obtained by excluding optional 40 codewords from 8232 codewords, the 8232 codewords being obtained by excluding 230 codewords, each having ‘11011’ at a corresponding trailing edge, 420 codewords, each having 8 or more consecutive ‘0’s, and 22 codewords, each having 7 consecutive ‘0’s at a corresponding leading edge or a corresponding trailing edge, from selected 8904 codewords, the selected 8904 codewords being obtained by adding 7473 codewords, each having a number of 1s at corresponding leading two bits and/or a number of 1s at corresponding trailing two bits of at most 1, respectively, and 1431 codewords, each having ‘11’ at a corresponding trailing edge.