Shape Enumerators of Self-Dual NRT Codes over Finite Fields
Yin Chen, Runxuan Zhang · SIAM Journal on Discrete Mathematics · 2024
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.