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 law before us, my lords, seems to be the effect of that practice of which it is intended likewise to be the cause, and to be dictated by the liquor of which it so effectually promotes the use; for surely it never before was conceived by any man entrusted with the administration of public affairs, to raise taxes by the destruction of the people.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“I would define the poetic effect as the capacity that a text displays for continuing to generate different readings, without ever being completely consumed.”
—Umberto Eco (b. 1932)
“The receipt to make a speaker, and an applauded one too, is short and easy.—Take of common sense quantum sufficit, add a little application to the rules and orders of the House, throw obvious thoughts in a new light, and make up the whole with a large quantity of purity, correctness, and elegancy of style.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“The rebel, unlike the revolutionary, does not attempt to undermine the social order as a whole. The rebel attacks the tyrant; the revolutionary attacks tyranny. I grant that there are rebels who regard all governments as tyrannical; nonetheless, it is abuses that they condemn, not power itself. Revolutionaries, on the other hand, are convinced that the evil does not lie in the excesses of the constituted order but in order itself. The difference, it seems to me, is considerable.”
—Octavio Paz (b. 1914)
“The knight slew the dragon,
The lady was gay,
They rode on together,
Away, away.”
—Unknown. This Is the Key (l. 38–41)
“It’s not that I don’t want to be a beauty, that I don’t yearn to be dripping with glamor. It’s just that I can’t see how any woman can find time to do to herself all the things that must apparently be done to make herself beautiful and, having once done them, how anyone without the strength of mind of a foreign missionary can keep up such a regime.”
—Cornelia Otis Skinner (1901–1979)