Research Communication | Open Access
Volume 2021 | Communication ID 323
Volume 2021 | Communication ID 323
| Encryption method on a non commutative ring |
Hakim Habri, Abdelhakim Chillali, Abdelkarim Boua
Received |
Accepted |
Published |
February 28, 2021 |
March 10, 2021 |
March 15, 2021 |
Abstract: Let F_q a finite fields of order 〖q=p〗^s where s is a positive integer number and p a prime number greater than or equal to 5. We define a new law * on the set G whose elements are matrices of order 3 with coefficient in F_q. We have proved that (G,+,*) is a non commutatif ring. We compute the matrix A^n where n ∈N^* and A∈G, we will introduce a new method of cryptography based on the matrices of G and we will give an example of encrypted and decrypted messages.