EN
Polynomial Representation of Vernam Cipher
Abstract
Storing information or data has been one of the basic needs of humans for many years and these needs have led to the existence of some systems throughout the years. In this paper, soft sets represented by polynomials will be encrypted and decrypted in line with their representations. We are going to use the Rijndael Algorithm for soft sets and then encrypt and decrypt the data in accordance with its algorithm. The Rijndael algorithm is an algorithm which carries out the cyclic process according to the keys it has. At the end of each loop, the key is renewed and is applied to the data. These data are firstly shown in strings. While enumerating, it starts with zero index and ends with one less than string length.
Keywords
References
- [1] Aktaş H., Çağman N., Soft Sets and Soft Groups, Information Sciences, 177 (2007) 2726-2735.
- [2] Aktaş H., Çağman N., Erratum to “Soft Sets and Soft Groups”, Information Sciences 3 (2009), 338. Information Sciences, 177 (2007) 272-2735.
- [3] Atagün A.O., Sezgin A., Soft Substructures Of Rings, Fields and Modules, Computers & Mathematics With Applications, 61 (3) (2011) 592-601.
- [4] Zadeh L.A., Fuzzy Sets, Information and Control, 8 (1965) 338-353.
- [5] Zadeh L.A., Toward A Generalized Theory Of Uncertainty (GTU)-An Outline, Information Sciences, 172 (2005) 1-40.
- [6] Gorzalzany M.B., A Method Of Inference In Approximate Reasoning Based On Interval-Valued Fuzzy Sets, Fuzzy Set and Systems, 21 (1987) 1-17.
- [7] Dmitry M., Soft Sets Theory – First Results, Computers & Mathematics With Applications, 37 (1999) 19-31.
- [8] Atagün A.O., Kamacı H., Oktay O., Reduced Soft Matrices and Generalized Products With Applications In Decision Making, Neural Computing and Applications, 29 (2018) 445-456.
Details
Primary Language
English
Subjects
Quantitative Decision Methods , Numerical Analysis , Numerical and Computational Mathematics (Other)
Journal Section
Research Article
Publication Date
September 30, 2024
Submission Date
January 11, 2024
Acceptance Date
June 24, 2024
Published in Issue
Year 1970 Volume: 45 Number: 3