Some Analogue of Cramer-Shoup

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 p...

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Bibliographic Details
Main Authors: Md. Said, Mohamad Rushdan, Muslim, Norliana
Format: Article
Language:English
English
Published: Institute for Mathematical Research 2008
Online Access:http://psasir.upm.edu.my/id/eprint/12452/
http://psasir.upm.edu.my/id/eprint/12452/1/artikel_3_vol1_no2.pdf
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Summary: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.