Research Article

Polynomial Representation of Vernam Cipher

Volume: 45 Number: 3 September 30, 2024
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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. [1] Aktaş H., Çağman N., Soft Sets and Soft Groups, Information Sciences, 177 (2007) 2726-2735.
  2. [2] Aktaş H., Çağman N., Erratum to “Soft Sets and Soft Groups”, Information Sciences 3 (2009), 338. Information Sciences, 177 (2007) 272-2735.
  3. [3] Atagün A.O., Sezgin A., Soft Substructures Of Rings, Fields and Modules, Computers & Mathematics With Applications, 61 (3) (2011) 592-601.
  4. [4] Zadeh L.A., Fuzzy Sets, Information and Control, 8 (1965) 338-353.
  5. [5] Zadeh L.A., Toward A Generalized Theory Of Uncertainty (GTU)-An Outline, Information Sciences, 172 (2005) 1-40.
  6. [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. [7] Dmitry M., Soft Sets Theory – First Results, Computers & Mathematics With Applications, 37 (1999) 19-31.
  8. [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

Authors

Publication Date

September 30, 2024

Submission Date

January 11, 2024

Acceptance Date

June 24, 2024

Published in Issue

Year 2024 Volume: 45 Number: 3

DOI

https://doi.org/10.17776/csj.1418207

IZ

https://izlik.org/JA34UW84AR

Cite

RIS / Bibtex
APA
Aygun, E., & Yılmaz, İ. (2024). Polynomial Representation of Vernam Cipher. Cumhuriyet Science Journal, 45(3), 557-561. https://doi.org/10.17776/csj.1418207

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