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

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Showing 2023Show all

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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…

Dihedral Quantum Codes

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

A Note on Polynomial Certificates for Walk Inequalities

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