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arXiv · 2401.10470

Shape enumerators of self-dual NRT codes over finite fields

Yin Chen·Runxuan Zhang
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Abstract

We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's formula to compute all possible shape enumerators. We also explicitly compute the shape enumerators of some low-dimensional self-dual NRT codes over an arbitrary finite field.

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Yin Chen, Runxuan Zhang. 2024-08-06. Shape enumerators of self-dual NRT codes over finite fields. https://doi.org/10.1137/24m1633376

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