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A Block Cipher Algorithm Based on Magic Square for Secure E-bank Systems

Farah Tawfiq Abdul Hussien*, Abdul Monem S. Rahma, Hala Bahjat Abdul Wahab
Computer Science Department, University of Technology, Baghdad, 10011, Iraq
* Corresponding Author: Farah Tawfiq Abdul Hussien. Email:

Computers, Materials & Continua 2022, 73(1), 1329-1346.

Received 20 January 2022; Accepted 12 April 2022; Issue published 18 May 2022


Nowadays the E-bank systems witnessed huge growth due to the huge developments in the internet and technologies. The transmitted information represents crucial information that is exposed to various kinds of attacks. This paper presents a new block cipher technique to provide security to the transmitted information between the customers and the e-bank systems. The proposed algorithm consists of 10 rounds, each round involves 5 operations. The operations involve Add round key, Sub bytes, Zigzag method, convert to vector, and Magic Square of order 11. The purpose of this algorithm is to make use of the complexity of the Magic Square algorithm, the speed of addition operation, the confusion provided by the zigzag, using these operations with Galois field 28 GF(28), and repeating these operations for several rounds to build fast high secure encryption algorithm. This algorithm is designed to provide fast with high complexity and security which is suitable to encrypt the data that is transmitted over the internet. Speed, complexity, and The National Institute of Standards and Technology Framework NIST suite tests were done. The complexity of the proposed algorithm is = ((256)32)r+1*((256)89)r+1 + (256)121. The proposed technique gives higher speed and security in the encryption and decryption phases, according to the results of the experiments. The degree of randomness has grown by 31.8 percent. Due to a decrease in the time of encrypting and decrypting, as well as the usage of the central processing unit (CPU), efficiency is improved. The encryption process throughput is enhanced by 13%, while the decryption process throughput is increased by 11.6 percent with the recommended approach.


Block cipher; magic square order 11; complexity; NIST suite; zigzag; GF(28); MS11

Cite This Article

F. Tawfiq Abdul Hussien, A. Monem S. Rahma and H. Bahjat Abdul Wahab, "A block cipher algorithm based on magic square for secure e-bank systems," Computers, Materials & Continua, vol. 73, no.1, pp. 1329–1346, 2022.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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