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arXiv · 2212.09568

On the Density of Codes over Finite Chain Rings

Anna-Lena Horlemann·Violetta Weger·Nadja Willenborg
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Abstract

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 size q separately. We then specialize and apply our technique to rank metric codes and to Hamming metric codes.

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Anna-Lena Horlemann, Violetta Weger, Nadja Willenborg. 2022-12-19. On the Density of Codes over Finite Chain Rings. https://arxiv.org/abs/2212.09568

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