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Nurdagül Anbar

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Articles

P℘N functions, complete mappings and quasigroup difference sets

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By Nurdagül Anbar, MDBF Istanbul Turkey, Tekgül Kalaycı, Wilfried Meidl
| Wiley Online Library Verified
We investigate pairs of permutations of such that is a permutation for every . We show that, in that case, necessarily for some complete mapping of , and call the permutation a perfect nonlinear (P N) function. If , then is a PcN function, which have been considered in the literature, lately. With a binary operation on involving , we obtain a quasigroup, and show that the graph of a P N function is a difference set in the respective quasigroup.
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