Explore an invited talk by Nadia Heninger at Asiacrypt 2016 delving into the practical realities of cryptographic deployments on the internet. Gain insights into the challenges and vulnerabilities in current cryptographic implementations, focusing on Diffie-Hellman key exchange. Examine the impact of scanners, modular exponentiation, and the Chinese remainder theorem on security. Investigate prime standards, small subgroup confinement attacks, and countermeasures. Analyze crypto implementation flaws, US export controls, and their consequences, including the FREAK and Logjam attacks. Learn about the number field sieve algorithm and its implications for cryptographic security. Discuss NSA's role in cryptography, including revelations from Snowden documents and NSA's decryption requirements. Reflect on the broader implications for internet security, free speech, and maintaining an open internet while addressing cryptographic challenges.