In this paper, we introduce and investigate the neighborhood of binary self-dual codes. We prove that there is no better Type I code than the best Type II code of the same length. Further, we give some new necessary conditions for the existence of a singly-even (56,28,12)-code and a doubly-even (72,36,16)-code.
@article{arxiv.2206.05588,
title = {Neighborhoods of binary self-dual codes},
author = {Carolin Hannusch and S. Roland Major},
journal= {arXiv preprint arXiv:2206.05588},
year = {2023}
}