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This paper investigates secure transmission of the secondary user in cognitive non-orthogonal multiple access (NOMA) networks under quality of services (QoS) and security constraints of the primary user. The network QoS and security requirements are satisfied at a high priority by cognitive power allocation. Under the power allocation scheme, the closed-form expressions for connection outage probability (COP) and secrecy outage probability (SOP) are derived, which reveals the impact of parameters on secrecy performance of the secondary user. In addition, simulations are conducted for analyzing the secrecy performance of the secondary user and providing the security and reliability trade-off results. It is shown that the constraint from the security requirement of the primary user deteriorates the secrecy performance of the secondary user but improves the security, however it improves the reliability trade-off.
