Encryption and Decryption of the Data by Using the Terms of the Lucas Series

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dc.contributor.authorDuman, Mehmet
dc.contributor.authorDuman, Merve Güney
dc.date.accessioned2023-07-26T11:58:06Z
dc.date.available2023-07-26T11:58:06Z
dc.date.issued2021
dc.departmentDÜ, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.description.abstractThe sequence, whose initial condition is 2 and 1, obtained by summing the two terms preceding it, is called the Lucas sequence. The terms of this series continue as 2, 1, 3, 4, 7, 11, 18, 29, ... respectively. The features of the Lucas sequence have been studied in many projects in the literature and many studies have been done on Lucas series in applied sciences. Cryptology is the science that deals with encrypting data, transferring it securely from one point to another, and converting the encrypted data to the previous one. It includes cryptography and cryptoanalysis. Different encryption-decryption methods have been developed to ensure the security of the data from the past to the present. Some of these are Caesar, Affine, Vigenere and RSA. There are two types of encryption systems in cryptology. The first one is symmetric (secret key) encryption and the another one is asymmetric (public key) encryption. In this study; using the features of the Lucas sequence, studies on cryptology, which deals with the correct encryption, transfer and decryption of data, have been carried out and an example of cryptology algorithm has been given. With Lucas cipher, the letters in the alphabet and the space character are each mapped to the terms of the Lucas sequence. Later, starting from the first term of the Lucas sequence, the encryption was strengthened by adding Lucas terms. As a result, the text to be encrypted has been turned into a symbolic representation of the numbers. Then, the necessary information for deciphering the text which is encrypted with numbers is given.en_US
dc.identifier.doi10.29130/dubited.825315
dc.identifier.endpage7en_US
dc.identifier.issn2148-2446
dc.identifier.issue3en_US
dc.identifier.startpage1en_US
dc.identifier.trdizinid496686en_US
dc.identifier.urihttp://doi.org/10.29130/dubited.825315
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/496686
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13402
dc.identifier.volume9en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.institutionauthorDuman, Mehmet
dc.language.isoenen_US
dc.relation.ispartofDüzce Üniversitesi Bilim ve Teknoloji Dergisien_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectCryptologyen_US
dc.subjectCryptographyen_US
dc.subjectInformation Securityen_US
dc.subjectLucas numbers Kriptolojien_US
dc.subjectLucas sayılarıen_US
dc.subjectBilgi güvenliğien_US
dc.subjectKriptografien_US
dc.titleEncryption and Decryption of the Data by Using the Terms of the Lucas Seriesen_US
dc.typeArticleen_US

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