Usage of the fractional functions of the form f(x)=ax+bcx+d, cx+d≠0 for data encryption and decryption

Session

Computer Science and Communication Engineering

Description

The study of Cryptosystems is highly important, and there exist valuable scientific works about them. Cryptosystems are mathematical structures related to the encryption and decryption of data, which deals with secrecy and authenticity. In fulfilling these requirements, cryptography plays a significant role, where many researchers have come up with various proposals and developed algorithms that have somewhat contributed to the security of confidentiality, integrity, and data verification. However, the issue of securing the internet through modern cryptography has become quite complex. Modern encryption systems are based on complex mathematical algorithms and apply a combination of symmetric and asymmetric key encryption schemes to ensure communication security. In this paper, we present a new cryptosystem based on commutative composite functions such as the algebraic homomorphic functions of the form fx=ax+bcx+d. After the necessary theoretical overview, we provide the encryption and decryption procedures accompanied by relevant examples, as well as the corresponding software implementation of this cryptosystem [14], [15].

Keywords:

Encryption, decryption, algebraic homomorphic functions, commutative composite functions.

Proceedings Editor

Edmond Hajrizi

ISBN

978-9951-550-95-6

Location

UBT Lipjan, Kosovo

Start Date

28-10-2023 8:00 AM

End Date

29-10-2023 6:00 PM

DOI

10.33107/ubt-ic.2023.287

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Oct 28th, 8:00 AM Oct 29th, 6:00 PM

Usage of the fractional functions of the form f(x)=ax+bcx+d, cx+d≠0 for data encryption and decryption

UBT Lipjan, Kosovo

The study of Cryptosystems is highly important, and there exist valuable scientific works about them. Cryptosystems are mathematical structures related to the encryption and decryption of data, which deals with secrecy and authenticity. In fulfilling these requirements, cryptography plays a significant role, where many researchers have come up with various proposals and developed algorithms that have somewhat contributed to the security of confidentiality, integrity, and data verification. However, the issue of securing the internet through modern cryptography has become quite complex. Modern encryption systems are based on complex mathematical algorithms and apply a combination of symmetric and asymmetric key encryption schemes to ensure communication security. In this paper, we present a new cryptosystem based on commutative composite functions such as the algebraic homomorphic functions of the form fx=ax+bcx+d. After the necessary theoretical overview, we provide the encryption and decryption procedures accompanied by relevant examples, as well as the corresponding software implementation of this cryptosystem [14], [15].