Some Analogue of Cramer-Shoup
Md. Said, Mohamad Rushdan and Muslim, Norliana (2008) Some Analogue of Cramer-Shoup. Math Digest : Research Bulletin Institute for Mathematical Research, 1 (2). pp. 15-18. ISSN 1985-2436
LUCELG and Cramer-Shoup are examples of public key cryptosystem. LUCELG uses a special group based on the Lucas function, also known as second order linear recurrence relation but the first practical Lucas function in a cryptosystem is LUC. Cramer-Shoup is a practical public key cryptosystem provably secure against adaptive chosen ciphertext attack that requires a universal one-way hash function. Based on LUCELG and Cramer-Shoup cryptosystems, analogous systems based on Lucas function and its extension are proposed and analyzed.
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