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Correlation enhanced Collision Attacks (CCA) can be able to exploit any first-order leakage without knowing the precise hypothetical power model.However,the correlation between time samples of two S-boxes is relatively weak, which leads to the low efficiency of CCA.Actually, the efficiency of CCA is much lower than that of Correlation Power Analysis (CPA).In this paper, two methods named Invalid Power Traces Clipping based CCA (IPTC-CCA) and Power Traces Splicing based CCA (PTS-CCA) are proposed to improve the efficiency ofCCA.IPTC+PTS-CCA, a combination of IPTC-CCA and PTS-CCA, which is more efficient than both stand-alone IPTC-CCA and PTS-CCA, is also proposed in this paper.Experiments on the power trace set of Rotating S-boxes Masking (RSM) protected AES-256 algorithm implemented on the Side-channel Attack Standard Evaluation Board (SASEBO) from the website DPA contest v4 show that the 3 schemes proposed in this paper can significantly improve the efficiency of CCA.