A data modulation method resistant to channel distortion and a method for correcting error in data coded by the modulation method are provided. The data modulation method uses a run length limited (RLL) modulation code applied to write data to an optical storage medium, the RLL modulation code being expressed as RLL ( d , k, m, n, s ) with s = 2 or greater, where d is minimum run length, k is maximum run length, m is the data bit length before modulation, n is the codeword bit length after modulation, and s is the space length between codewords. The data modulation and correction methods can reduce a redundancy in physical address data written to an optical storage medium with improved detection performance resistant to disturbance.