Nadja Willenborg

activity

20222025

most citedDensities of Codes of Various Linearity Degrees in Translation-Invariant Metric Spaces

7 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

cs.IT2025

Block components of generalized quaternion group codes

Nadja Willenborg

Codes in the generalized quaternion group algebra $F_{q} [Q_{4 n}]$ are considered. Restricting to char $F_{q} ∤ 4 n$ the structure of an arbitrary code $C \subseteq…

quant-ph2023

Dihedral Quantum Codes

Nadja Willenborg, Martino Borello, Anna-Lena Horlemann +1

We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for…

cs.IT2023

On the Number of $t$ -Lee-Error-Correcting Codes

Nadja Willenborg, Anna-Lena Horlemann, Violetta Weger

We consider $t$ -Lee-error-correcting codes of length $n$ over the residue ring $Z_{m} := Z / m Z$ and determine upper and lower bounds on the number of $t$ -Le…

cs.DM2023

A Note on Polynomial Certificates for Walk Inequalities

Nadja Willenborg, Sven Kosub

Let $w_{m} (G)$ denote the total number of walks of length $m$ in an undirected graph $G$ . Spectral decomposition shows that $(w_{m} (G))_{m \geq 0}$ is a moment sequence of a finite posit…

cs.IT2022

On the Density of Codes over Finite Chain Rings

Anna-Lena Horlemann, Violetta Weger, Nadja Willenborg

We determine the asymptotic proportion of free modules over finite chain rings with good distance properties and treat the asymptotics in the code length n and the residue field si…

cs.IT2022★ 7 cited

Densities of Codes of Various Linearity Degrees in Translation-Invariant Metric Spaces

Anina Gruica, Anna-Lena Horlemann, Alberto Ravagnani +1

We investigate the asymptotic density of error-correcting codes with good distance properties and prescribed linearity degree, including sublinear and nonlinear codes. We focus on…