In a method of encoding a video frame to be transmitted to a plurality of clients over a plurality of network connections, a set of parameters is associated with each connection. The method comprises: for each connection, determining a frame size that can be transported over the connection considering the associated set of parameters; and compressing the video frame to a target frame size based on the minimum of the plurality of determined frame sizes. This method advantageously provides an easy and straightforward way for selecting the appropriate parameters that need to be taken into account for controlling the rate of the generated bitstream, particularly when multiple parameters are associated with each connection.