A Comparative Study of Researches Based on Magic Square in Encryption with Proposing a New Technology

ALattar, Ibrahim Malik; Rahma, Abdul Monem S

	A Comparative Study of Researches Based on Magic Square in Encryption with Proposing a New Technology
IRAQI JOURNAL OF COMPUTERS, COMMUNICATIONS, CONTROL AND SYSTEMS ENGINEERING
Article 8, Volume 21, Issue 2, 2021, Pages 102-114 PDF (1.02 M)
Authors
Ibrahim Malik ALattar¹; Abdul Monem S Rahma²
¹Department of Computer Science, University of Technology, Baghdad, Iraq.
²Computer Sciences Dep. University of Technology Baghdad, Iraq
Abstract
This paper aims to develop a new cryptographic algorithm that is based on the magic square method of order five with multi message lengths to be more complex in order to increase the complexity; in addition to comparing the cipher with the use of the magic square of order five, four and three (all single message length. The proposed work has been done by using two extra rounds and depending on round statuse ( even or odd) , messages are detected to be used. The key is placed in agreed positions, then the remaining positions are filled with the message, and then certain sums are calculated to represent the encrypted text. Speed, complexity, histogram calculations for images, and NIST calculations for texts were calculated, and the results were compared, where the complexity of the algorithms was as follows ((P)15 × (256)10)2 × (P)11 × (256)14 and ((256)15 × (256)10)2 × (256)11 × (256)14 for GF(P) and GF(28) respectively , From that, it has been discovered that the proposed algorithm (Magic Square of order five with multi message length) is better than the rest of the algorithms as it has excellent complexity and a slight difference in the speed.
Keywords
Cryptography; GF(28); linear equation system; Magic Square

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