Caesar yarışmasına katılan ikinci tur aday algoritmaların istatistiksel rastgelelik testleri

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2016

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Simetrik anahtarlı şifreleme çalışmalarını geliştirmek için NIST ve IACR tarafından birçok yarışma düzenlenmiştir. Son zamanlarda kimlik denetimini sağlayan şifrelemenin önemi hızlı bir şekilde artmaktadır çünkü bütünlüğün, gizliliğin ve kimlik denetiminin aynı anda sağlanmasına ihtiyaç vardır. Bu tür güvenliğe ihtiyaç duyulmasından dolayı, Ocak 2013'te Erken Simetrik Kripto Çalıştayında CAESAR Yarışması duyurulmuştur. Bu yarışma IACR tarafından yürütülmektedir ve final algoritmalarını bu araştırma grubu seçecektir. Yarışma boyunca her turun sonunda birtakım algoritmalar elenecektir. Sonuç olarak, algoritmaların analizi CAESAR Yarışması için çok önemlidir. Bu amaçla, biz yarışma devam ettiği sürece AEGIS, Ascon, Joltik, MORUS, Pi-Cipher and Tiaoxin adlı algoritmalara istatistiksel rastgelelik testlerini uyguluyoruz. Bu tezde, biz istatistiksel rastgelelik testlerini kullanarak CAESAR Yarışması algoritmalarının analizine odaklandık ve algoritmaların istatistiksel rastgelelik testlerine göre hangi tur sayısına kadar rastgele davrandıklarını gözlemledik.
In order to improve symmetric key research several competitions had arranged by organizations like NIST and IACR. In recent years, the importance of authenticated encryption has rapidly increased because of the necessity of simultaneously enabling integrity, confidentiality and authenticity. Since the necessity of this kind of security rises, at January 2013, the CAESAR Competition announced at the Early Symmetric Crypto workshop. This competition is run by the IACR and this research community will select the final portfolio algorithm. During the competition, a number of algorithms is eliminated in each round. Therefore, analysis of algorithms are very important for the CAESAR Competition. For this purpose, while the competition continues, we apply statistical randomness testing for the algorithms such as AEGIS, Ascon, Joltik, MORUS, Pi-Cipher and Tiaoxin. In this thesis, we have focused on the analysis of the algorithms participated in CAESAR Competition using statistical randomness tests and observe that up to how many rounds, those algorithms, behave random according to statistical randomness tests.

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Matematik, Mathematics, İstatistik, Statistics

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72