Affiliations: [a] Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
| [b] Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan
| [c] Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan
| [d] Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha, Qatar
| [e] Statistical Consulting Unit, College of Arts and Science, Qatar University, Doha, Qatar
Correspondence:
[*]
Corresponding author. Majid Khan, Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia. E-mail: [email protected].
Abstract: The reduction of constrained mathematical structures leads us to generalize any abstract structures. Using minimum conditions to construct a secure and robust component of the modern encryption algorithm is one crucial problem in multimedia security. With this understanding, we have proposed a new algebraic structure, namely monogenic semigroup, to construct a digital information authentication scheme. Authentication is always completed at the beginning of the application, before any throttling or approval checks are performed, and before any other code is allowed to begin running in the background. Many authentication schemes offer a complex structure for implementation in cryptosystems and applications. The anticipated mechanism uses a simple mathematical structure having the least conditions as compared to other mathematical structures. The suggested scheme provides structures for the authentication of text messages and images.
Keywords: Monogenic semigroup, authentication, modern ciphers
