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CRYPTO
2003
Springer

Torus-Based Cryptography

11 years 6 months ago
Torus-Based Cryptography
We introduce the concept of torus-based cryptography, give a new public key system called CEILIDH, and compare it to other discrete log based systems including Lucas-based systems and XTR. Like those systems, we obtain small key sizes. While Lucas-based systems and XTR are essentially restricted to exponentiation, we are able to perform multiplication as well. We also disprove the open conjectures from [2], and give a new algebro-geometric interpretation of the approach in that paper and of LUC and XTR.
Karl Rubin, Alice Silverberg
Added 06 Jul 2010
Updated 06 Jul 2010
Type Conference
Year 2003
Where CRYPTO
Authors Karl Rubin, Alice Silverberg
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