The equivalence of linear codes implies semi-linear equivalence
Information Theory
2021-07-19 v1 Combinatorics
math.IT
Abstract
We prove that if two linear codes are equivalent then they are semi-linearly equivalent. We also prove that if two additive MDS codes over a field are equivalent then they are additively equivalent.
Cite
@article{arxiv.2107.07912,
title = {The equivalence of linear codes implies semi-linear equivalence},
author = {Simeon Ball and James Dixon},
journal= {arXiv preprint arXiv:2107.07912},
year = {2021}
}