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• W2169165807 abstract "We introduce a new cryptosystem with trapdoor decryption based on the difficulty of computing discrete logarithms in the class group of the nonmaximal imaginary quadratic order N Δq, where δq = δq2, δ square-free and q prime. The trapdoor information is the conductor q. Knowledge of this trapdoor information enables one to switch to and from the class group of the maximal order N Δ, where the representatives of the ideal classes have smaller coefficients. Thus, the decryption procedure may be performed in the class group of N Δ rather than in the class group of the public N Δq, which is much more efficient. We show that inverting our proposed cryptosystem is computationally equivalent to factoring the non-fundamental discriminant δq, which is intractable for a suitable choice of δ and q. We also describe how signature schemes in N Δq may be set up using this trapdoor information. Furthermore, we illustrate how one may embed key escrow capability into classical imaginary quadratic field cryptosystems." @default.
• W2169165807 created "2016-06-24" @default.
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• W2169165807 date "1998-01-01" @default.
• W2169165807 modified "2023-10-16" @default.
• W2169165807 title "A cryptosystem based on non-maximal imaginary quadratic orders with fast decryption" @default.
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• W2169165807 doi "https://doi.org/10.1007/bfb0054134" @default.
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