Broadcast algorithms for the interlaced bypass torus networks (iBT networks) are introduced to balance the all-port bandwidth efficiency and to avoid congestion in multidimensional cases. With these algorithms, we numerically analyze the dependencies of the broadcast efficiencies on various packet-sending patterns, bypass schemes, network sizes, and dimensionalities and then strategically tune up the configurations for minimizing the broadcast steps. Leveraging on such analysis, we compare the performance of networks with one million nodes between two cases: one with an added fixed-length bypass links and the other with an added torus dimension. A case study of iBT(10002;b = (8,32)) and Torus(1003) shows that the former improves the diameter, average node-to-node distance, rectangular and global broadcasts over the latter by approximately 80 percent. It is reaffirmed that strategically interlacing short bypass links and methodically utilizing these links is superior to adding dimensionalities to torus in achieving shorter diameter, average node-to-node distances and faster broadcasts.