Neutrosophic sets and their variants
Mohamed Bisher Zeina; mohammad abobala
Abstract
Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory for sharing keys and for the decryption and encryption of messages and multimedia.
As a novel trend in the world of cryptography, non-classical integer systems ...
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Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory for sharing keys and for the decryption and encryption of messages and multimedia.
As a novel trend in the world of cryptography, non-classical integer systems are used for encryption and decryption such as neutrosophic or plithogenic integers.
The objective of this paper is to provide two novel crypto schemes for the encryption and decryption of data and information based on the algebraic properties of 2-cyclic refined integers, where improved versions of the El-Gamal crypto-scheme and RSA algorithm will be established through the view of the algebra of 2-cyclic refined integers.
On the other hand, we illustrate some examples and tables to show the validity and complexity of the novel algorithms.
Neutrosophic sets and their variants
Mohammad Abobala
Abstract
If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p i which ...
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If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p i which make P be an ideal of Rn(I). Also, this work introduces a full description of the algebraic structure and form for AH-maximal and minimal ideals in Rn(I).