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In Advances in Cryptology - CRYPTO 2003, Vol. 2729 (2003), pp. 349-365, doi:10.1007/978-3-540-45146-4_21 Key: citeulike:11159115
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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.
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