Investigating rational perfect nonlinear functions
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Publication:6046841
DOI10.1007/s10231-023-01339-6OpenAlexW4382448944MaRDI QIDQ6046841
Daniele Bartoli, Marco Timpanella
Publication date: 6 October 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-023-01339-6
Cites Work
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- Further results on planar DO functions and commutative semifields
- On the classification of exceptional planar functions over \(\mathbb F_p\)
- Planar functions over fields of characteristic two
- New pseudo-planar binomials in characteristic two and related schemes
- Planar functions over finite fields
- A character theoretic approach to planar functions
- Planar functions and planes of Lenz-Barlotti class II
- On the classification of planar monomials over fields of square order
- Asymptotics of Moore exponent sets
- Differential cryptanalysis of DES-like cryptosystems
- Almost perfect and planar functions
- The cryptanalysis of FEAL-4 with 20 chosen plaintexts
- Perfect nonlinear binomials and their semifields
- Exceptional scattered polynomials
- Highly nonlinear mappings
- A family of permutation trinomials over \(\mathbb{F}_{q^2}\)
- Exceptional crooked functions
- On a conjecture on APN permutations
- Some planar monomials in characteristic 2
- New families of perfect nonlinear polynomial functions
- A family of planar binomials in characteristic 2
- Low-degree planar polynomials over finite fields of characteristic two
- Planar functions and perfect nonlinear monomials over finite fields
- Functions which are PN on infinitely many extensions of \(\mathbb F_p\), \(p\) odd
- Improved explicit estimates on the number of solutions of equations over a finite field
- Perfect nonlinear functions and cryptography
- Planes of order \(n\) with collineation groups of order \(n^ 2\)
- Further study of planar functions in characteristic two
- On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\)
- Handbook of Finite Fields
- A New Approach to Constructing Quadratic Pseudo-Planar Functions Over $ {\mathbb F}_{2^{n}}$
- A few more functions that are not APN infinitely often
- The classification of planar monomials over fields of prime square order
- Some Theorems on Planar Mappings
- New Perfect Nonlinear Multinomials over F $_{p^{2k}}$ for Any Odd Prime p
- Value sets of functions over finite fields
- ‐Relative Difference Sets and Their Representations
- Ovali ed altre curve nei piani di Galois di caratteristica due
- Number of Points of Varieties in Finite Fields
- On the Riemann Hypothesis in Function-Fields
