Shape enumerators of self-dual NRT codes over finite fields
arXiv:2401.10470 · doi:10.1137/24M1633376
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.
13 pages; accepted for publication by SIAM J. Discrete Math