An innovative method for enhancing advanced encryption standard algorithm based on magic square of order 6

Kareem, Suhad Muhajer; Rahma, Abdul Monem S.

doi:10.11591/eei.v12i3.4498

Cited by 4 publications

(3 citation statements)

References 19 publications

(33 reference statements)

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“…The authors presented insightful numerical findings in the form of graphical representations, elucidating the influence of both the recycle ratio and the fractional order on the model's dynamic evolution. Interested readers can refer to the bibliography on these topics for more information [10], [18]− [21].…”

Section: Introductionmentioning

confidence: 99%

A new approximate solution of the fractional trigonometric functions of commensurate order to a regular linear system

Boucherma,

Idiou,

Achour

et al. 2024

IJEECS

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This paper introduces a novel approach to the approximate solution of linear differential equations associated with principal fractional trigonometry and the R function. This method proposes a solution that is expressed by adding appropriate fractional linear fundamental functions. Laplace transforms of these functions are irrational. Therefore, we rounded these functions to obtain rational functions in the form of damped cosine, damped sine, cosine, sine and exponential functions. This transformation was achieved by utilizing the concept of fractional commensurate order and, as a result, has direct practical relevance to real-world physics. The precision and effectiveness of the approach are demonstrated through illustrative examples of solving fractional linear systems.

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Section: Introductionmentioning

confidence: 99%

A new approximate solution of the fractional trigonometric functions of commensurate order to a regular linear system

Boucherma,

Idiou,

Achour

et al. 2024

IJEECS

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“…Kravchenko et al [5] constructed synthesizing nonequidistant sparse antenna arrays based on magic squares providing a high degree of dilution and sufficiently small side radiation. Magic squares have been used to encrypt and decrypt images [6][7][8]. Hyodo and Kitabayashi [9] established the relationship between magic squares with the Dirac flavor neutrino mass matrix.…”

Section: Introductionmentioning

confidence: 99%

New Infinite Classes for Normal Trimagic Squares of Even Orders Using Row–Square Magic Rectangles

Hu,

Pan

2024

Mathematics

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As matrix representations of magic labelings of related hypergraphs, magic squares and their various variants have been applied to many domains. Among various subclasses, trimagic squares have been investigated for over a hundred years. The existence problem of trimagic squares with singly even orders and orders 16n has been solved completely. However, very little is known about the existence of trimagic squares with other even orders, except for only three examples and three families. We constructed normal trimagic squares by using product constructions, row–square magic rectangles, and trimagic pairs of orthogonal diagonal Latin squares. We gave a new product construction: for positive integers p, q, and r having the same parity, other than 1, 2, 3, or 6, if normal p × q and r × q row–square magic rectangles exist, then a normal trimagic square with order pqr exists. As its application, we constructed normal trimagic squares of orders 8q3 and 8pqr for all odd integers q not less than 7 and p, r ∈ {7, 11, 13, 17, 19, 23, 29, 31, 37}. Our construction can easily be extended to construct multimagic squares.

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“…One kind of symmetric cryptographic encryption algorithm [ 8 ] is the AES algorithm. The technique of picture segmentation [ 9 ] is one of the most difficult and important in digital image processing. Picture thresholding is a widely used method for image segmentation [ 10 ] because of its computational efficiency and low learning curve.…”

Section: Introductionmentioning

confidence: 99%

A Novel Cipher-Based Data Encryption with Galois Field Theory

Hazzazi

Attuluri²,

Bassfar

et al. 2023

Sensors

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Both the act of keeping information secret and the research on how to achieve it are included in the broad category of cryptography. When people refer to “information security,” they are referring to the study and use of methods that make data transfers harder to intercept. When we talk about “information security,” this is what we have in mind. Using private keys to encrypt and decode messages is a part of this procedure. Because of its vital role in modern information theory, computer security, and engineering, cryptography is now considered to be a branch of both mathematics and computer science. Because of its mathematical properties, the Galois field may be used to encrypt and decode information, making it relevant to the subject of cryptography. The ability to encrypt and decode information is one such use. In this case, the data may be encoded as a Galois vector, and the scrambling process could include the application of mathematical operations that involve an inverse. While this method is unsafe when used on its own, it forms the foundation for secure symmetric algorithms like AES and DES when combined with other bit shuffling methods. A two-by-two encryption matrix is used to protect the two data streams, each of which contains 25 bits of binary information which is included in the proposed work. Each cell in the matrix represents an irreducible polynomial of degree 6. Fine-tuning the values of the bits that make up each of the two 25-bit binary data streams using the Discrete Cosine Transform (DCT) with the Advanced Encryption Standard (AES) Method yields two polynomials of degree 6. Optimization is carried out using the Black Widow Optimization technique is used to tune the key generation in the cryptographic processing. By doing so, we can produce two polynomials of the same degree, which was our original aim. Users may also use cryptography to look for signs of tampering, such as whether a hacker obtained unauthorized access to a patient’s medical records and made any changes to them. Cryptography also allows people to look for signs of tampering with data. Indeed, this is another use of cryptography. It also has the added value of allowing users to check for indications of data manipulation. Users may also positively identify faraway people and objects, which is especially useful for verifying a document’s authenticity since it lessens the possibility that it was fabricated. The proposed work achieves higher accuracy of 97.24%, higher throughput of 93.47%, and a minimum decryption time of 0.0047 s.

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An innovative method for enhancing advanced encryption standard algorithm based on magic square of order 6

Cited by 4 publications

References 19 publications

A new approximate solution of the fractional trigonometric functions of commensurate order to a regular linear system

A new approximate solution of the fractional trigonometric functions of commensurate order to a regular linear system

New Infinite Classes for Normal Trimagic Squares of Even Orders Using Row–Square Magic Rectangles

A Novel Cipher-Based Data Encryption with Galois Field Theory

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