Research Article

AES Encryption and A Cryptosystem Obtained with Soft Set II

Volume: 40 Number: 1 March 22, 2019
EN TR

AES Encryption and A Cryptosystem Obtained with Soft Set II

Abstract

In this paper, a new cryptographic algorithm was created with the soft sets, symmetric groups, soft matrices representing soft sets, and AES. In 1999, by Molodtsov proposed soft set theory as a new mathematical tool to deal with uncertainties. This theory which has been applied to many fields which contain uncertainties received much attention since proposed. The inverse product and characteristic product defined on soft matrices was used in soft encryption and soft decryption. In order to make the encryption more secure, symmetric groups included in the algorithm.

Keywords

Soft Set,AES,Inverse Product,Characteristic Product

References

  1. [1]. Molodtsov, D., Soft set theory-first results, Computers and Mathematics with Applications, 37, (1999), 19–31.
  2. [2]. Molodtsov, D. , The Theory of Soft Sets, URRS Puplishers. , Moscow, (in Russian) 2004.
  3. [3]. Rivest, R. , Adleman, L. and Dertouzos, M., On data banks and privacy homomorphisms, In Foundations of Secure Computation, 169–180. 1978.
  4. [4]. Roy, A.R. and Maji, P.K., A fuzzy soft set theoretic approach to decision making problem, Journal of Computational and Applied Mathematics , 203, (2007), 412–418.
  5. [5]. Feng, F. , Jun, Y. B. and Zhao X., Soft semirings, Computers and Mathematics with Applications, 56,( 2008), 2621–2628.
  6. [6]. Sezgin, A. and Atagün, A.O., On operations of soft sets, Computers and Mathematics with Applications, 61, (2011), 1457–1467.
  7. [7]. Aktas H., Çagman N., Soft sets and soft groups, Inform. Sci. , 177, (2007),2726-2735.
  8. [8]. Atagün, A.O. and Sezgin, A., Soft substructures of rings, fields and modules, Comput. Math. Appl., 61 (3), (2011), 592-601.
  9. [9]. Sezgin, A .Atagün, O. and Aygün, E., A note on soft near-rings and idealistic soft near-rings, Filomat, , Vol. 25, (1), (2011), 53–68.
  10. [10]. Atagün, A.O. and Aygün, E., Groups of soft sets, Journal of Intelligent and Fuzzy Sys., 30, (2016),729-733.
APA
Aygün, E. (2019). AES Encryption and A Cryptosystem Obtained with Soft Set II. Cumhuriyet Science Journal, 40(1), 69-78. https://doi.org/10.17776/csj.416395
AMA
1.Aygün E. AES Encryption and A Cryptosystem Obtained with Soft Set II. CSJ. 2019;40(1):69-78. doi:10.17776/csj.416395
Chicago
Aygün, Emin. 2019. “AES Encryption and A Cryptosystem Obtained With Soft Set II”. Cumhuriyet Science Journal 40 (1): 69-78. https://doi.org/10.17776/csj.416395.
EndNote
Aygün E (March 1, 2019) AES Encryption and A Cryptosystem Obtained with Soft Set II. Cumhuriyet Science Journal 40 1 69–78.
IEEE
[1]E. Aygün, “AES Encryption and A Cryptosystem Obtained with Soft Set II”, CSJ, vol. 40, no. 1, pp. 69–78, Mar. 2019, doi: 10.17776/csj.416395.
ISNAD
Aygün, Emin. “AES Encryption and A Cryptosystem Obtained With Soft Set II”. Cumhuriyet Science Journal 40/1 (March 1, 2019): 69-78. https://doi.org/10.17776/csj.416395.
JAMA
1.Aygün E. AES Encryption and A Cryptosystem Obtained with Soft Set II. CSJ. 2019;40:69–78.
MLA
Aygün, Emin. “AES Encryption and A Cryptosystem Obtained With Soft Set II”. Cumhuriyet Science Journal, vol. 40, no. 1, Mar. 2019, pp. 69-78, doi:10.17776/csj.416395.
Vancouver
1.Emin Aygün. AES Encryption and A Cryptosystem Obtained with Soft Set II. CSJ. 2019 Mar. 1;40(1):69-78. doi:10.17776/csj.416395