For controlling the DC-content of a Run Length Limited RLL modulated channel bit stream organized in data blocks, control bits are periodically inserted into control blocks which are dynamically placed and sized near the data block boundaries in such a way as to enable independent dk-encoding of the data blocks body and the control blocks. Running digital sum differences are calculated. Control bit insertion is done in such a way that the d,k constraints of the RLL code are not violated, that the encoded dk sequence of the data block body is not altered, and that the running digital sum is minimized by eventually inverting the contribution of the data block body thereto. Compared to the number of data bits per data block, few control bits are sufficient to keep the digital sum variation DSV of the Running Digital Sum RDS small.