Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers
In this paper, the Creating self-reflexive matrices for the Hill Cipher algorithm in Gaussian integers is discussed. It's not always possible to find the inverse of the matrix that was used to encrypt the plaintext. Therefore, the encrypted text cannot be deciphered if the matrix is not invert...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2024-01-01
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| Series: | Academic Science Journal |
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| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/342 |
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| author | Ayat A. Jafaar Rifaat Z. Khalaf |
| author_facet | Ayat A. Jafaar Rifaat Z. Khalaf |
| author_sort | Ayat A. Jafaar |
| collection | DOAJ |
| description |
In this paper, the Creating self-reflexive matrices for the Hill Cipher algorithm in Gaussian integers is discussed. It's not always possible to find the inverse of the matrix that was used to encrypt the plaintext. Therefore, the encrypted text cannot be deciphered if the matrix is not invertible. The encryption matrix utilized in the self-reflexive matrix Creating method is self-reflexive as well. As a result, we do not need to find the matrix's inverse during decryption. Additionally, this approach does away with the computational cost of determining the matrix's inverse during decryption. We also provided an example showing the work of Hill-Cipher using a self-reflecting matrix in Gaussian integers
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| format | Article |
| id | doaj-art-1bca4268a16f497d99630b9f9d1c4752 |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-1bca4268a16f497d99630b9f9d1c47522024-11-19T10:00:23ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682024-01-012110.24237/ASJ.02.01.701BGenerating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers Ayat A. JafaarRifaat Z. Khalaf In this paper, the Creating self-reflexive matrices for the Hill Cipher algorithm in Gaussian integers is discussed. It's not always possible to find the inverse of the matrix that was used to encrypt the plaintext. Therefore, the encrypted text cannot be deciphered if the matrix is not invertible. The encryption matrix utilized in the self-reflexive matrix Creating method is self-reflexive as well. As a result, we do not need to find the matrix's inverse during decryption. Additionally, this approach does away with the computational cost of determining the matrix's inverse during decryption. We also provided an example showing the work of Hill-Cipher using a self-reflecting matrix in Gaussian integers https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/342Hill Cipher (HC), self-reflexive matrix, Gaussian Integers, Euclidean Algorithm. |
| spellingShingle | Ayat A. Jafaar Rifaat Z. Khalaf Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers Academic Science Journal Hill Cipher (HC), self-reflexive matrix, Gaussian Integers, Euclidean Algorithm. |
| title | Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers |
| title_full | Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers |
| title_fullStr | Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers |
| title_full_unstemmed | Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers |
| title_short | Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers |
| title_sort | generating self invertible matrices by hill cipher algorithm in gaussian integers |
| topic | Hill Cipher (HC), self-reflexive matrix, Gaussian Integers, Euclidean Algorithm. |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/342 |
| work_keys_str_mv | AT ayatajafaar generatingselfinvertiblematricesbyhillcipheralgorithmingaussianintegers AT rifaatzkhalaf generatingselfinvertiblematricesbyhillcipheralgorithmingaussianintegers |