This thesis depends on the paper &lsquo / Non-Boolean Almost Perfect Nonlinear Functions on Non-
Abelian Groups&rsquo / by Laurent Poinsot and Alexander Pott and we have no new costructions
here. We give an introduction about character theory and the paper of Poinsot and Pott,
and we also compare previous definitions of bent functions with the definition of the bent
function in the paper. As a conclusion, we give new theoretical definitions of bent, PN, APN
ana maximum nonlinearity. Moreover, we show that bent and PN functions are not always
same in the non-abelian cases.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12614839/index.pdf |
| Date | 01 September 2012 |
| Creators | Yilmaz, Emrah Sercan |
| Contributors | Ozbudak, Ferruh |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | Access forbidden for 1 year |
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