A new cryptosystem using matrix transformation

An improvement of the Hill cipher is proposed. In the Hill cipher, a randomly generated nonsingular matrix is used as an encryption key, and the inverse of the matrix is used as the decryption key. The weakness of Hill cipher is that the matrix may be revealed under known-plaintext attack. In the proposed cryptosystem a plaintext message is first partitioned into some suitable length of blocks and each block b concatenates with a random string r and a special control symbol c as r.||c||.b The new string is converted to a vector. The components of the vector are positive integers. To overcome the drawbacks of the Hill cipher, a more secure number system with different bases and an enforced transformation of the enciphering matrix are provided