Year 2019, Volume 40, Issue 1, Pages 69 - 78 2019-03-22

AES Encryption and A Cryptosystem Obtained with Soft Set II
AES Şifreleme ve Esnek Kümeler Yardımıyla Elde Edilen Kriptosistem II

Emin AYGÜN [1]

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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.

Bu çalışmada, esnek kümeler, esnek kümeleri temsil eden esnek matrisler, simetrik gruplar ve AES ile yeni bir şifreleme algoritması oluşturulmuştur.1999’da Molodtsov tarafından esnek küme teorisi  belirsizlikleri ortadan kaldırabilmek için yeni bir matematiksel yöntem olarak kullanılmaya başlandı. Belirsizlikleri içeren birçok alana uygulan bu teori önerildiğinden bu yana çok dikkat çekmiştir. Esnek matrisler üzerinde tanımlanan invers çarpım ve karakteristik çarpım esnek şifrelemede ve esnek deşifrelemede kullanılmıştır. Şifrelemenin daha güvenli olması için simetrik gruplar algoritmaya dahil edilmiştir.

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Primary Language en
Subjects Basic Sciences
Journal Section Natural Sciences
Authors

Orcid: 0000-0003-3503-0552
Author: Emin AYGÜN (Primary Author)
Institution: ERCİYES ÜNİVERSİTESİ, FEN FAKÜLTESİ, MATEMATİK BÖLÜMÜ
Country: Turkey


Bibtex @research article { csj416395, journal = {Cumhuriyet Science Journal}, issn = {2587-2680}, eissn = {2587-246X}, address = {Cumhuriyet University}, year = {2019}, volume = {40}, pages = {69 - 78}, doi = {10.17776/csj.416395}, title = {AES Encryption and A Cryptosystem Obtained with Soft Set II}, key = {cite}, author = {AYGÜN, Emin} }
APA AYGÜN, E . (2019). AES Encryption and A Cryptosystem Obtained with Soft Set II. Cumhuriyet Science Journal, 40 (1), 69-78. DOI: 10.17776/csj.416395
MLA AYGÜN, E . "AES Encryption and A Cryptosystem Obtained with Soft Set II". Cumhuriyet Science Journal 40 (2019): 69-78 <http://dergipark.org.tr/csj/issue/43798/416395>
Chicago AYGÜN, E . "AES Encryption and A Cryptosystem Obtained with Soft Set II". Cumhuriyet Science Journal 40 (2019): 69-78
RIS TY - JOUR T1 - AES Encryption and A Cryptosystem Obtained with Soft Set II AU - Emin AYGÜN Y1 - 2019 PY - 2019 N1 - doi: 10.17776/csj.416395 DO - 10.17776/csj.416395 T2 - Cumhuriyet Science Journal JF - Journal JO - JOR SP - 69 EP - 78 VL - 40 IS - 1 SN - 2587-2680-2587-246X M3 - doi: 10.17776/csj.416395 UR - https://doi.org/10.17776/csj.416395 Y2 - 2018 ER -
EndNote %0 Cumhuriyet Science Journal AES Encryption and A Cryptosystem Obtained with Soft Set II %A Emin AYGÜN %T AES Encryption and A Cryptosystem Obtained with Soft Set II %D 2019 %J Cumhuriyet Science Journal %P 2587-2680-2587-246X %V 40 %N 1 %R doi: 10.17776/csj.416395 %U 10.17776/csj.416395
ISNAD AYGÜN, Emin . "AES Encryption and A Cryptosystem Obtained with Soft Set II". Cumhuriyet Science Journal 40 / 1 (March 2019): 69-78. https://doi.org/10.17776/csj.416395