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The issue of protecting the information from penetration has become an important issue. The system that depends on the encryption ensures the confidentiality of the information non-disclosure of sensitive information but does not ensure the integrity of data from destruction and change. In this paper, a proposed system is designed to protect the confidentiality and integrity of data from penetration, disclosure, and destruction. The proposed system based on the polynomial numbers of GF () is achieved by improving the encryption approach using the idea of the magic square and the linear equation system also uses improving the digital signature method for ensuring that data is not changed or modified. The system has higher encryption and decryption throughput (548.924Kb /sec), (548.924 Kb /sec) and acceptable value 0.759294 of the randomness data according to the NIST randomness tests as well as a high confusion and diffusion in cipher text based on the ratio of Avalanche effect test.

Maintaining the Integrity of Encrypted Data by Using the Improving Hash Function Based on GF 28