Eimear Byrne

Density of Free Modules over Finite Chain Rings

2021 · arXiv (Cornell University)

In this paper we focus on modules over a finite chain ring $\mathcal{R}$ of size $q^s$. We compute the density of free modules of $\mathcal{R}^n$, where we separately treat the asymptotics in $n,q$ and $s$. …

Decoding Algorithms for Tensor Codes

2025

Tensor codes are a generalisation of matrix codes. Such codes are defined as subspaces of$r$-th order tensors for which the ambient space is endowed with the tensor-rank as a metric. A class of these codes …