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arxiv: math/0506420 · v3 · pith:ONMU5UKInew · submitted 2005-06-21 · 🧮 math.CO · math.NT

A new APN function which is not equivalent to a power mapping

classification 🧮 math.CO math.NT
keywords equivalentmappingfunctionpoweralmostconstructedexamplefield
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A new almost perfect nonlinear function (APN) on the finite field GF(2^10) which is not equivalent to any of the previously known APN mappings is constructed. This is the first example of an APN mapping which is not equivalent to a power mapping.

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