Dual EC: A Standardized Back Door - ResearchGate

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Back in 2007, Bruce Schneier reported on a backdoor found in NIST’s Dual_EC_DRBG random number generator: But today there’s an even bigger stink brewing around Dual_EC_DRBG. In an informal presentation (.pdf) at the CRYPTO 2007 conference in August, Dan Shumow and Niels Ferguson showed that the algorithm contains a weakness that can only be described as a backdoor. Elliptic curve cryptography is becoming more and more popular. One of its main supporters is the cryptocurrency system Bitcoin which uses an elliptic curve scheme for their digital signatures. Smaller key size, a more efficient implementation than the RSA system, and a similar level of security make elliptic curve cry "Bitcoin price volatility implies huge market risk." ... (or Dual EC DRBG) and the influence ... a sequence number, or some combination of these. (DRBG uses a DRBG mechanism and a source of entropy input, and may, depending on implementation of DRBG mechanism, include a nonce source.) Any change to block data such as changing nonce results in totally different new block hash value. It is ... Many cryptographic standards widely used in commercial applications were developed by the U.S. Government’s National Institute of Standards and Technology (NIST). Dual EC is an algorithm to compute pseudorandom numbers starting from some random input. Dual EC was standardized by NIST, ANSI, and ISO among other algorithms to generate pseudorandom numbers.

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