The increasing diversity of Internet application requirements has spurred recent interest in transport protocol for high speed delay product connectivity. Addressing the deficiency of previous protocols, this paper presents a spectrum of time based odd function congestion control protocols for deployment in high speed and long distance networks. Through extensive analysis we focus on SQUARE, one of the protocols in odd function congestion control. Without the need to revise the current end-to-end architecture, SQUARE is shown to be efficient when there is bandwidth available, to be fair when many flows compete with each other for the same bottleneck, to be friendly when deployed with the conventional TCP, to be robust when there are oscillations in the network.