- Torus-based cryptography
**Torus based cryptography**involves using algebraic tori to construct a group for use incipher s based on thediscrete logarithm problem . This idea was first introduced byAlice Silverberg andKarl Rubin in2003 in the form of apublic key algorithm by the name ofCEILIDH . It improves on conventional cryptosystems by representing some elements of large finite fields compactly and therefore transmitting fewer bits.**References*** Karl Rubin, Alice Silverberg: Torus-Based Cryptography. CRYPTO 2003: 349–365

**External links*** [

*http://www.math.uci.edu/~asilverb/bibliography/ceilidh.pdf Torus-Based Cryptography*] — the paper introducing the concept (in PDF).

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