Torus-based cryptography

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Torus-based cryptography involves using algebraic tori to construct a group for use in ciphers 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. [1] [2]

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  1. ↑ Rubin, Karl; Silverberg, Alice (2003). Boneh, Dan (ed.). "Torus-Based Cryptography". Advances in Cryptology - CRYPTO 2003. Berlin, Heidelberg: Springer: 349–365. doi:10.1007/978-3-540-45146-4_21. ISBN   978-3-540-45146-4.
  2. ↑ Gorla, Elisa (2025), "Torus-Based Cryptography", Encyclopedia of Cryptography, Security and Privacy, Springer, Cham, pp. 2632–2634, doi:10.1007/978-3-030-71522-9_481, ISBN   978-3-030-71522-9 , retrieved 2026-02-03{{citation}}: CS1 maint: work parameter with ISBN (link)


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