LUC-type cryptosystems are asymmetric key cryptosystems based on the Lucas sequence
that is extended from RSA. The security challenge is comparable to RSA, which is based on …

To improve the security and the efficiency of the RSA cryptosystem, several variants have
been proposed such as CRT-RSA, KMOV, Multiprime-RSA, Takagi-RSA, and Multiprime …

This paper focuses on the security analysis of Lucas based El-Gamal cryptosystem scheme.
The El-Gamal scheme is incorporated with different Lucas order, including second-order in …

The public key cryptosystem is fundamental in safeguard communication in cyberspace.
This paper described a new cryptosystem analogous to El-Gamal encryption scheme, which …

This is the first of three chapters devoted to the question of how to generalize the Lucas
sequences. We begin with a detailed discussion of Lucas's thoughts concerning this …

Lucas Functions is a special form of second order linear recurrence relation. This function
has been used in the LUC Cryptosystems. The encryption process of this system is the …

The security of LUC type cryptosystems was investigated. In this study, chosen message
attack was employed to analyze the security of LUC, LUC3 and LUC4, 6 cryptosystems. The …

The encryption process of LUC Cryptosystem is V e (P, 1)(mod N), while the decryption
process is V d (C, 1)(mod N). An N is a product of two relatively primes p and q, P is a …

ABSTRACT LUC Cryptosystem is a public key cryptosystem based on Lucas Function. It is
first discussed by Smith and Lennon in 1993. They proposed a new public key system using …

ElGamal and LUC are examples of a public-key cryptosystem. Based on these two systems,
LUCELG that depends on the strength of the two systems was constructed. The combination …