Delve into a comprehensive analysis of the Juniper Dual EC incident in this 28-minute conference talk presented at CCS 2016. Explore the background of SSH backdoors and the Dual EC cryptographic algorithm, understanding its functionality and vulnerabilities. Learn how attackers can exploit Dual EC and examine Juniper's specific implementation. Gain insights into decompiled output, key exchange processes, and nonce generation. Investigate multiple handshake key recovery techniques, single handshake key recovery and degradation, and proof of concept demonstrations. Trace the version history of affected systems and analyze the Dual EC output and state recovery. Uncover the intricacies of the Dual EC receding bug and its implications as a potential backdoor. Conclude with a Q&A session addressing audience inquiries on this critical cybersecurity incident.