Explore the potential cryptographic vulnerabilities and prepare for a post-RSA world in this Black Hat USA 2013 conference talk. Delve into the latest breakthroughs in discrete mathematics and their implications for popular cryptosystems, focusing on RSA and large number factoring. Learn about recent attacks on cryptographic weaknesses, such as BEAST, CRIME, and Lucky 13. Understand the disconnect between academic research and practical exploitation. Examine asymmetric cryptography, elliptic curve cryptography, and the discrete logarithm problem. Discover the current state of discrete logarithm algorithms and their progress. Investigate the potential failure of trust in cryptographic systems and the importance of perfect forward secrecy. Evaluate the security of ECC and other trapdoor functions. Assess the crypto ecosystem, including DNSSEC, OpenVPN, browsers, and certificates. Gain insights into surveying your exposure and preparing for potential cryptographic vulnerabilities in various software and products. Read more