Arne Winterhof

collaborators

3 papers

math.NT2025

On the $N$ th $2$ -adic complexity of binary sequences identified with algebraic $2$ -adic integers

Zhixiong Chen, Arne Winterhof

We identify a binary sequence $S = (s_{n})_{n = 0}^{\infty}$ with the $2$ -adic integer $G_{S} (2) = n = 0 \sum \infty s_{n} 2^{n}$ . In the case that $G_{S} (2)$ is…

math.NT2025

Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields

Kaimin Cheng, Arne Winterhof

Let $q$ be a prime power and $r$ a positive even integer. Let $F_{q}$ be the finite field with $q$ elements and $F_{q^{r}}$ be its extension field of degree $r$ . Le…

math.NT2024

Primitive elements of finite fields $F_{q^{r}}$ avoiding affine hyperplanes for $q = 4$ and $q = 5$

Philipp Alexander Grzywaczyk, Arne Winterhof

For a finite field $F_{q^{r}}$ with fixed $q$ and $r$ sufficiently large, we prove the existence of a primitive element outside of a set of $r$ many affine hyperplanes for $…

On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers

Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields

Primitive elements of finite fields Fqr​ avoiding affine hyperplanes for q=4 and q=5

On the $N$ th $2$ -adic complexity of binary sequences identified with algebraic $2$ -adic integers

Primitive elements of finite fields $F_{q^{r}}$ avoiding affine hyperplanes for $q = 4$ and $q = 5$