Constructing new APN functions from known ones

Publication: Research - peer-reviewJournal article – Annual report year: 2009

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We present a method for constructing new quadratic APN functions from known ones. Applying this method to the Gold power functions we construct an APN function x(3) + tr(x(9)) over F2(n). It is proven that for n >= 7 this function is CCZ-inequivalent to the Gold functions, and in the case n = 7 it is CCZ-inequivalent to any power mapping (and, therefore, to any APN function belonging to one of the families of APN functions known so far).
Original languageEnglish
JournalFinite Fields and Their Applications
Publication date2009
Volume15
Issue2
Pages150-159
ISSN1071-5797
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 24

Keywords

  • S-box, Almost perfect nonlinear, Almost bent, Differential uniformity, CCZ-equivalence, Nonlinearity, Vectorial Boolean function
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