Editing Torus-based cryptography

{{no footnotes|date=November 2015}}
'''Torus-based cryptography''' involves using [[Algebraic torus|algebraic tori]] to construct a [[Group (mathematics)|group]] for use in [[cipher]]s based on the [[discrete logarithm problem]]. This idea was first introduced by [[Alice Silverberg]] and [[Karl Rubin]] in 2003 in the form of a [[public key algorithm]] by the name of [[CEILIDH]]. It improves on conventional cryptosystems by representing some elements of large finite fields compactly and therefore transmitting fewer bits.

==See also==

* [[Torus]]

==References==
* Karl Rubin, Alice Silverberg: Torus-Based Cryptography. CRYPTO 2003: 349&ndash;365

==External links==
* [http://www.math.uci.edu/~asilverb/bibliography/ceilidh.pdf Torus-Based Cryptography] &mdash; the paper introducing the concept (in PDF).

[[Category:Public-key cryptography]]


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