Abstract
The retaining of confidentiality in data transmission with user authentication has become eminent for easy and secure communication. This is achieved by using the art of cryptology at its best. Various ciphers are developed balancing time, memory, and security. In particular, the invertible property is the basic requirement in constructing a secure cryptosystem. In this paper, an invertible block matrix is constructed over Fibonacci sequences. The sender and the recipient can derive the block matrix through the key exchanged over a secure channel for encryption and decryption. Also, an asymmetric cryptosystem is designed based on the skewed Affine cipher, which uses a bijective map over points on an elliptic curve. The developed cryptosystem is resistant to cryptanalytic attacks.
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