Solving \(X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b\) in \(\mathbb{F}_{2^{4 n}}\) and an alternative proof of a conjecture on the differential spectrum of the related monomial functions (Q2168944)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving \(X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b\) in \(\mathbb{F}_{2^{4 n}}\) and an alternative proof of a conjecture on the differential spectrum of the related monomial functions |
scientific article |
Statements
Solving \(X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b\) in \(\mathbb{F}_{2^{4 n}}\) and an alternative proof of a conjecture on the differential spectrum of the related monomial functions (English)
0 references
26 August 2022
0 references
finite field
0 references
equation
0 references
power function
0 references
polynomial
0 references
APN function
0 references
differential uniformity
0 references
symmetric cryptography
0 references
0 references
