Classifier Instance:

Anchor text: Grover's algorithm
Target Entity: Grover\u0027s_algorithm
Preceding Context: Mainstream symmetric ciphers (such as AES or Twofish) and collision resistant hash functions (such as SHA) are widely conjectured to offer greater security against known quantum computing attacks. They are widely conjectured to be most vulnerable to
Succeeding Context: . Bennett, Bernstein, Brassard, and Vazirani proved in 1996 that a brute-force key search on a quantum computer cannot be faster than roughly 2 n/2 invocations of the underlying cryptographic algorithm, compared with roughly 2 n in the classical case. Thus in the presence of large quantum computers an n-bit key can provide at least n/2 bits of security. Quantum brute force is easily defeated by doubling the key length, which has little extra computational cost in ordinary use. This implies that at least a 160-bit symmetric key is required to achieve 80-bit security rating against a quantum computer.
Paragraph Title: Effect of quantum computing attacks on key strength
Source Page: Key size

Ground Truth Types:

Predicted Types:

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