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Polynomial Representation of Vernam Cipher

Yıl 2024, Cilt: 45 Sayı: 3, 557 - 561, 30.09.2024

Emin Aygun , İncinur Yılmaz

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

Öz

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.

Anahtar Kelimeler

Soft Sets Encryption Decryption Vernam Cipher Stream Cipher

Kaynakça

  • [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.
  • [9] Aygün E., Soft Matrix Product and Soft Cryptosystem, Filomath, 32 (19) (2018) 6519-6530.
  • [10] Hashim H.R., Husain A.M., Vernem Cipher Over A Soft Set, Globakl Journal Of Mathematics, 5 (2) (2015) 2395-4760.
  • [11] Rosen K.H., Elementary Number Theory, and Its Applications. 5th Edn., United States of America, Boston, (2005) 363.
  • [12] Aygün E., Yılmaz İ., Esnek Kümeler Ve Vernam Şifreleme Üzerine, 3. Başkent International Conference On Multidisciplinary Studies Full Text Book, 3. Başkent International Conference On Multidisciplinary Studies, Ankara, 2022, 1108-1115.

Yıl 2024, Cilt: 45 Sayı: 3, 557 - 561, 30.09.2024

Emin Aygun , İncinur Yılmaz

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

Öz

Kaynakça

  • [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.
  • [9] Aygün E., Soft Matrix Product and Soft Cryptosystem, Filomath, 32 (19) (2018) 6519-6530.
  • [10] Hashim H.R., Husain A.M., Vernem Cipher Over A Soft Set, Globakl Journal Of Mathematics, 5 (2) (2015) 2395-4760.
  • [11] Rosen K.H., Elementary Number Theory, and Its Applications. 5th Edn., United States of America, Boston, (2005) 363.
  • [12] Aygün E., Yılmaz İ., Esnek Kümeler Ve Vernam Şifreleme Üzerine, 3. Başkent International Conference On Multidisciplinary Studies Full Text Book, 3. Başkent International Conference On Multidisciplinary Studies, Ankara, 2022, 1108-1115.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Nicel Karar Yöntemleri, Sayısal Analiz, Sayısal ve Hesaplamalı Matematik (Diğer)
Bölüm Natural Sciences
Yazarlar

Emin Aygun 0000-0003-3503-0552

İncinur Yılmaz 0000-0001-6481-8918

Yayımlanma Tarihi 30 Eylül 2024
Gönderilme Tarihi 11 Ocak 2024
Kabul Tarihi 24 Haziran 2024
Yayımlandığı Sayı Yıl 2024Cilt: 45 Sayı: 3

Kaynak Göster

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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