Shape enumerators of self-dual NRT codes over finite fields
Information Theory
2024-11-11 v2 math.IT
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.
Keywords
Cite
@article{arxiv.2401.10470,
title = {Shape enumerators of self-dual NRT codes over finite fields},
author = {Yin Chen and Runxuan Zhang},
journal= {arXiv preprint arXiv:2401.10470},
year = {2024}
}
Comments
13 pages; accepted for publication by SIAM J. Discrete Math