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Department of Mathematics and Computer Science, University of Perugia, 06123 Perugia, Italy; daniele.bartoli@unipg.it 2 Applied Mathematics Department, Naval Postgraduate School, Monterey, CA 93943, USA; pstanica@nps.edu
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Two new, provably inequivalent families of APN permutations over finite fields have been discovered, expanding the toolkit for cryptographic design.