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Today, wireless networks become the most popular way to communicate. However, information can be easily eavesdropped or extracted by eavesdroppers due to the broadcast nature of wireless communication. Multi-hop relay communication systems provide for higher secrecy performance than direct transmission techniques. In this paper, the physical layer secrecy performance of multi-hop decode-and-forward (DF) relay network is investigated in the presence of multiple passive eavesdroppers over Nakagami-m fading channels. To do so, we find out the exact closed-form expressions of existence probability of secrecy capacity and secrecy outage probability by using statistical characteristics of signal-to-noise ratio (SNR). Importantly, these expressions are in more general forms compared to other results in the literature. The proposed results show a quite agreement between numerical analysis and equivalent …