Sonlu cisimler üzerinde permutasyon polinomları

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490375 On permutation polynomials over finite fields.pdf (433.34 KB)

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2017

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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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Bu tezde sonlu cisimlerdeki permutasyon polinomları uzerine c¸alıs¸tık. Sonlu cisimler ¨ uzerinde tanımlanmıs¸ bazı permutasyon polinom tiplerinin olus¸turulması ve sınıflandı- ¨ rılması ile ilgili son zamanlarda yapılmıs¸ birtakım aras¸tırma sonuc¸larını derledik.
In this thesis, we study on permutation polynomials defined over finite fields. We have made a survey of some recent research results on constructions and classifications of some types of permutation polynomials over finite fields.

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Matematik, Mathematics

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100

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https://hdl.handle.net/20.500.14411/6115

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Master Tezler / Master Thesis