@article{Article_84,

title = {New Significant Results On The Cryptosystem With The Toeplitz Matrices},

journal = {Communications in Combinatorics, Cryptography & Computer Science},

volume = {2024},

issue = {1},

issn = { 2783-5456 },

year = {2024},

url = {http://cccs.sgh.ac.ir/Articles/2024/issue 1/1-12-NewSignificantResultsOnTheCryptosystem.pdf},

author = {Özen ÖZER and Hana Ali-Pacha and Adda Ali-Pacha},

keywords = {Cryptographic systems, Toeplitz matrices, Key generation, Encryption, Decryption, Mathematical structures, Logistic Map.},

abstract = {Cryptographic systems play a pivotal role in securing sensitive information in today's digital age. One of the critical components of cryptographic algorithms is the efficient management of mathematical structures, such as matrices, to ensure the confidentiality and integrity of data. This paper presents groundbreaking findings in the realm of cryptographic systems, specifically focusing on the utilization of Toeplitz matrices. Toeplitz matrices are structured symmetrically, and their properties have been harnessed in various cryptographic applications. In this research, we explore novel methodologies and algorithms that leverage Toeplitz matrices to enhance the security of cryptographic systems. Our investigation includes a comprehensive analysis of the inherent properties of Toeplitz matrices, their application in key generation, encryption, and decryption processes, and their potential to resist attacks by adversaries. Furthermore, we introduce innovative cryptographic protocols and techniques that exploit the unique characteristics of Toeplitz matrices to strengthen data protection.}

};