Method and apparatus of rate 13/15 maximum transition run code encoding and decoding

The present invention includes such, the coding method according to the code rate of 13/15 MTR code encoding / decoding method and apparatus is provided with a code rate of 13/15 MTR code for a one-to-one correspondence with the data of 13 bits into 15-bit data; And outputting a 15-bit code words in accordance with a 13-bit data in a code rate of 13/15 MTR code; Connecting a code word of a series of 15-bit by checking that it meets the MTR constraint; And if a violation MTR constraints converts specific bits of the code word, otherwise, characterized in that it comprises the step which does not convert the code word, and the 13/15 MTR (j = 2, k = 8) code is a code by the number of "1" of the front end and the end of the word private code, but the trailing end of a codeword select the code '11' and prevent the modulation coding process, when the three hoein shift recovery that is continuous in the code boundary from among the of the code word and the number of '0' in the front part or end of the number of consecutive "0" eight or more code words and code words excluding the 7 individual code words resulting 8232 codes the resulting ends with "11011" to to rule out any 40 consists of 8192 codes. According to the present invention can reproduce data reliably even at a high recording density, and enables storage and reproduction of more data on a magnetic recording data storage device.