Barrage jamming will submerge the target signal and make it unable to be detected by radar. In the presence of strong jamming， radar systems may be paralyzed directly. Therefore， it is of great significance to study the methods of suppressing barrage jamming. In order to suppress barrage jamming， an optimization problem model is built. The discrete phase coding sequence is used as the transmitting signal， the minimum range sidelobe of the transmitting signal is used as the criterion， and the fixed output level of the barrage jamming processed by the matched filter and the discrete phase coding are served as the constraints. The alternating direction method of multipliers (ADMM) nested quasi Newton method， called as ADMM-BFGS， is introduced to solve the problem. Moreover， in terms of the problems of complexity and long time-consumption existing in the ADMM-BFGS algorithm， a composite algorithm combining the ADMM with power method-like iterations (PMLI)， called as ADMM-PMLI， is proposed. The simulation results show that the ADMM-PMLI algorithm can greatly reduce the calculation time compared with the ADMM-BFGS algorithm， and both the ADMM-PMLI and ADMM-BFGS algorithms can ensure the detection performance of the radar and improve its ability to combat barrage jamming.