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'''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.
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