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Problem Set 4!

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Nadim Kobeissi 2025-06-27 21:49:36 +02:00
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<h4 class="mb-2"><i class="icon ph-duotone ph-check-square-offset"></i><a href="problem-sets/#3">Problem Set 3: Asymmetric Cryptography</a></h4>
<p class="mb-0">This problem set covers concepts from topics 1.7 and 1.8 of the course, spanning three comprehensive areas: cryptographic hardness foundations, Diffie-Hellman security analysis, and elliptic curve implementation challenges. In cryptographic hardness, you'll analyze real-world implications of mathematical breakthroughs like P=NP and evaluate discrete logarithm security architectures including parameter selection and vulnerability assessment. The Diffie-Hellman section explores attack scenarios in hostile network environments, man-in-the-middle defenses, and protocol design challenges including SSH trust models. Elliptic curve security engineering examines curve selection controversies, invalid curve attacks, mobile performance optimization, and implementation vulnerabilities including side-channel attacks and nonce reuse scenarios. Finally, applied case studies challenge you to design complete key exchange protocols for secure messaging, analyze cryptocurrency signature scheme decisions, and architect enterprise-scale secure communication systems. Throughout, the assignments emphasize both mathematical security analysis and practical deployment considerations, requiring you to bridge theoretical cryptographic principles with real-world system design challenges.</p>
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<h4 class="mb-2"><i class="icon ph-duotone ph-check-square-offset"></i><a href="problem-sets/#4">Problem Set 4: Secure Channel Protocols</a></h4>
<p class="mb-0">This problem set explores real-world cryptographic protocols covered in topics 2.1, 2.2, and 2.3, focusing on three critical areas: Transport Layer Security, the RC4 cryptanalysis story, and secure messaging protocols. In the TLS section, you'll analyze attack scenarios including legacy downgrade vulnerabilities and certificate authority compromises, while examining TLS 1.3's design decisions around forward secrecy, cryptographic agility, and enterprise monitoring challenges. The RC4 component investigates stream cipher vulnerabilities through WEP forensics and modern protocol analysis, emphasizing cryptographic lifecycle management and deprecation strategies. The secure messaging section compares PGP and Signal's design philosophies, analyzes authenticated key exchange protocols for security properties, and identifies subtle flaws in broken ratcheting protocols. Throughout, the assignments require you to balance theoretical security analysis with practical deployment considerations, examining real-world trade-offs in protocol design, migration strategies, and threat model assumptions. A bonus challenge offers deeper exploration into formal verification's impact on TLS 1.3, RC4's complete cryptanalytic timeline, or the convergence of modern messaging protocols.</p>
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