A Novel Encryption Scheme of Amazigh Alphabet Based Elliptic Curve using Pauli Spin ½ Matrices

Abstract

A new secure Elliptic Curve Cryptosystem based on Pauli spins ½ matrices will be proposed in this paper. It includes (i) public key generation on the elliptic curve and its declaration for data encryption of Amazigh characters and (ii) private key generation and its use in data decryption depended on Pauli spins ½ matrices. An overview of Pauli spins ½ matrices has been discussed. Much attention has been given here on the coding of Amazigh alphabets to data stream. Finally, we describe how to encrypt the data by ECC technique using Pauli spins ½ matrices.