Cryptology ePrint Archive: Report 2020/295

Generalized Isotopic Shift Construction for APN Functions

Lilya Budaghyan and Marco Calderini and Claude Carlet and Robert Coulter and Irene Villa

Abstract: In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (2018), when the starting function is a Gold function. In particular, we derive a general construction of APN functions which covers several unclassified APN functions for $n=8$ and produces fifteen new APN functions for $n=9$.

Category / Keywords: secret-key cryptography / APN functions; Isotopic shift; Vectorial Boolean functions

Date: received 6 Mar 2020, last revised 19 Sep 2020

Contact author: irene villa at uib no

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Version: 20200919:142234 (All versions of this report)

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