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:
“Worldly faces never look so worldly as at a funeral. They have the same effect of grating incongruity as the sound of a coarse voice breaking the solemn silence of night.”
—George Eliot [Mary Ann (or Marian)
“We are such docile creatures, normally, that it takes a virus to jolt us out of life’s routine. A couple of days in a fever bed are, in a sense, health-giving; the change in body temperature, the change in pulse rate, and the change of scene have a restorative effect on the system equal to the hell they raise.”
—E.B. (Elwyn Brooks)
“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)
“I must ... warn my readers that my attacks are directed against themselves, not against my stage figures.”
—George Bernard Shaw (1856–1950)
“At the last, tenderly,
From the walls of the powerful fortress’d house,
From the clasp of the knitted locks, from the keep of the well-closed doors,
Let me be wafted.
Let me glide noiselessly forth;
With the key of softness unlock the locks—with a whisper,
Set ope the doors O soul.”
—Walt Whitman (1819–1892)
“He has his health, and ampler strength indeed
Than most have of his age.”
—William Shakespeare (1564–1616)