The $c$-differential spectrum of $x\mapsto x^{\frac{p^n+1}{2}}$ in finite fields of odd characteristics

doi:10.21203/rs.3.rs-2180323/v1

The $c$-differential spectrum of $x\mapsto x^{\frac{p^n+1}{2}}$ in finite fields of odd characteristics

2022 · doi:10.21203/rs.3.rs-2180323/v1

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Abstract

In the paper, we concentrate on the map x → x pn+1/2 on F p n and using combinatorial and number theory techniques, we compute its detailed c-differential spectrum for all values of c ≠ 1 (the spectrum for c = 1 is known).

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