Effect of Quantum Computing Attacks On Key Strength
The two best known quantum computing attacks are based on Shor's algorithm and Grover's algorithm. Of the two, Shor's offers the greater risk to current security systems.
Derivatives of Shor's algorithm are widely conjectured to be effective against all mainstream public-key algorithms including RSA, Diffie-Hellman and elliptic curve cryptography. According to Professor Gilles Brassard, an expert in quantum computing: "The time needed to factor an RSA integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption. In other words, it takes no more time to break RSA on a quantum computer (up to a multiplicative constant) than to use it legitimately on a classical computer." The general consensus is that these public key algorithms are insecure at any key size if sufficiently large quantum computers capable of running Shor's algorithm become available. The implication of this attack is that all data encrypted using current standards based security systems such as the ubiquitous SSL used to protect e-commerce and Internet banking and SSH used to protect access to sensitive computing systems is at risk. Encrypted data protected using public-key algorithms can be archived and may be broken at a later time.
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 Grover's algorithm. Bennett, Bernstein, Brassard, and Vazirani proved in 1996 that a brute-force key search on a quantum computer cannot be faster than roughly 2n/2 invocations of the underlying cryptographic algorithm, compared with roughly 2n 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.
Read more about this topic: Key Size
Famous quotes containing the words effect of, effect, quantum, attacks, key and/or strength:
“The effect of a good government is to make life more valuable; of a bad one, to make it less valuable.”
—Henry David Thoreau (1817–1862)
“The want of an international Copy-Right Law, by rendering it nearly impossible to obtain anything from the booksellers in the way of remuneration for literary labor, has had the effect of forcing many of our very best writers into the service of the Magazines and Reviews.”
—Edgar Allan Poe (1809–1849)
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (1896–1948)
“Neither the wrath of Heaven nor the attacks of enemies
are as fatal as Pleasure alone when she infects the mind.”
—Silius Italicus (26–101)
“‘The key is in the window, the key is in the sunlight at the
window—I have the key—Get married Allen don’t take drugs—the key is in the bars, in the sunlight in the window.
Love,
your mother’”
—Allen Ginsberg (b. 1926)
“So immense are the claims on a mother, physical claims on her bodily and brain vigor, and moral claims on her heart and thoughts, that she cannot ... meet them all and find any large margin beyond for other cares and work. She serves the community in the very best and highest way it is possible to do, by giving birth to healthy children, whose physical strength has not been defrauded, and to whose moral and mental nature she can give the whole of her thoughts.”
—Frances Power Cobbe (1822–1904)