| Title:
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Constructing new APN functions from known ones |
| Type:
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Journal articleJournal article |
| Participant(s):
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Forfatter:
Budaghyan, L.
Technical University of Denmark
Forfatter:
Carlet, C.
Technical University of Denmark
Technical University of Denmark
Email:
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| Abstract:
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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). |
| Published:
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in journal: Finite Fields and Their Applications (ISSN: 1071-5797) (DOI: http://dx.doi.org/10.1016/j.ffa.2008.10.001), vol: 15, issue: 2, pages: 150-159, 2009 |
| DOI:
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