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Show HN: Dual Elliptic Curve Math Backdoor in Python

a year ago
  • #Cryptography
  • #Python
  • #Security
  • The NSA hid a secret mathematical backdoor in the Dual EC DRBG cryptographic standard in 2006, allowing the US government to decrypt SSL internet traffic.
  • The backdoor was discovered by Microsoft researchers in 2007, revealing that the Dual EC algorithm's vulnerability lies in the Q value, which could be manipulated.
  • A Python implementation demonstrates how the backdoor works, showing that 28 bytes of RNG data can be predicted in 2 minutes on a home computer.
  • Insecure random number generators (RNGs) have been exploited in various attacks, including hijacking Hacker News accounts and compromising Bitcoin wallets on Android.
  • The article provides a technical deep dive into coding the Dual EC RNG and its backdoor, including generating backdoor constants and predicting RNG outputs.