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- TWIRL abstract "In cryptography and number theory, TWIRL (The Weizmann Institute Relation Locator) is a hypothetical hardware device designed to speed up the sieving step of the general number field sieve integer factorization algorithm. During the sieving step, the algorithm searches for numbers with a certain mathematical relationship. In distributed factoring projects, this is the step that is parallelized to a large number of processors.TWIRL is still a hypothetical device - no implementation has been publicly reported. However, its designers, Adi Shamir and Eran Tromer, estimate that if TWIRL were built, it would be able to factor 1024-bit numbers in one year at the cost of "a few dozen million US dollars". TWIRL could therefore have enormous repercussions in cryptography and computer security - many high-security systems still use 1024-bit RSA keys, which TWIRL would be able to break in a reasonable amount of time and for reasonable costs.The security of some important cryptographic algorithms, notably RSA and the Blum Blum Shub pseudorandom number generator, rests in the difficulty of factorizing large integers. If factorizing large integers becomes easier, users of these algorithms will have to resort to using larger keys (computationally more expensive) or to using different algorithms, whose security rests on some other computationally hard problem (like the discrete logarithm problem).".
- TWIRL wikiPageExternalLink twirl.
- TWIRL wikiPageID "727814".
- TWIRL wikiPageLength "2022".
- TWIRL wikiPageOutDegree "18".
- TWIRL wikiPageRevisionID "550104738".
- TWIRL wikiPageWikiLink Adi_Shamir.
- TWIRL wikiPageWikiLink Blum_Blum_Shub.
- TWIRL wikiPageWikiLink Category:Cryptanalytic_devices.
- TWIRL wikiPageWikiLink Computer_security.
- TWIRL wikiPageWikiLink Cryptography.
- TWIRL wikiPageWikiLink Custom_hardware_attack.
- TWIRL wikiPageWikiLink Discrete_logarithm.
- TWIRL wikiPageWikiLink Eran_Tromer.
- TWIRL wikiPageWikiLink General_number_field_sieve.
- TWIRL wikiPageWikiLink Integer_factorization.
- TWIRL wikiPageWikiLink Number_theory.
- TWIRL wikiPageWikiLink Pseudorandom_number_generator.
- TWIRL wikiPageWikiLink RSA_(algorithm).
- TWIRL wikiPageWikiLink RSA_(cryptosystem).
- TWIRL wikiPageWikiLink TWINKLE.
- TWIRL wikiPageWikiLink US_dollar.
- TWIRL wikiPageWikiLink United_States_dollar.
- TWIRL wikiPageWikiLink Weizmann_Institute.
- TWIRL wikiPageWikiLink Weizmann_Institute_of_Science.
- TWIRL wikiPageWikiLinkText "TWIRL".
- TWIRL hasPhotoCollection TWIRL.
- TWIRL wikiPageUsesTemplate Template:About.
- TWIRL wikiPageUsesTemplate Template:No_footnotes.
- TWIRL wikiPageUsesTemplate Template:One_source.
- TWIRL subject Category:Cryptanalytic_devices.
- TWIRL hypernym Device.
- TWIRL type Article.
- TWIRL type Device.
- TWIRL type Article.
- TWIRL comment "In cryptography and number theory, TWIRL (The Weizmann Institute Relation Locator) is a hypothetical hardware device designed to speed up the sieving step of the general number field sieve integer factorization algorithm. During the sieving step, the algorithm searches for numbers with a certain mathematical relationship.".
- TWIRL label "TWIRL".
- TWIRL sameAs m.03644z.
- TWIRL sameAs Q7672547.
- TWIRL sameAs Q7672547.
- TWIRL wasDerivedFrom TWIRL?oldid=550104738.
- TWIRL isPrimaryTopicOf TWIRL.