This paper is to propose a new line code suitable for a high speed unipolar pulse transmission system, such as a high speed optical digital transmission system. The original information speed can be converted into the transmission speed $frac{(m+1)}{m}$ by the speed converter. Then this code, named mBiZ code, is generated by means of an Exclusive NOR between the bit stream inserted a space into every m bits and the bit stream delayed by the time slot allocated a single bit at the output coded sequence. Therefore, a mBiZ code can reduce a redundancy in the line code for transmission and its conversion circuits can be devised easily. The mBiZ code can also suppress undesirable long consecuitive identical digits and make line code balance in the mark and space ratio. Therefore, high frequency and low frequency components in power spectrum of a mBiZ code can be suppessed.