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This lecture covers the trust establishment in the context of Bluetooth security, focusing on the Password Authentication Protocol, passive vs. active adversaries, challenge/response protocols, and the case study of Bluetooth. It discusses the history of Bluetooth, security basics, device pairing, legacy protocols, and the vulnerabilities in Bluetooth security. The instructor explains the key establishment insecurity, possible countermeasures, and the Bluetooth v2.0 and v2.1 security features. Various Bluetooth pairing variants are analyzed, including numeric comparison, passkey entry, and out-of-band methods. The lecture concludes with discussions on Bluetooth Low Energy in v4.0 and the security implications of different pairing variants.