小hull维数的双循环与四循环码的渐近性能
信息论
2025-08-14 v5 math.IT
摘要
我们研究双循环码和四循环码的渐近行为，它们分别是指标为2和4的准循环码。针对这些具有指定hull维数的码族，推导出了精确的计数结果。这些公式反过来又是证明双循环码和四循环码渐近良好性能的最常用工具。文中也提供了所考虑码族的计算结果。
引用
@article{arxiv.2401.07017,
title = {Asymptotic performance of double and four circulant codes with small hull dimension},
author = {Zohreh Aliabadi and Tekgül Kalaycı},
journal= {arXiv preprint arXiv:2401.07017},
year = {2025}
}
备注
We have added a new co-author and decided to withdraw all versions of this submission. Some of our earlier generalizations may be misleading due to differing approaches in the literature. To prevent confusion and ensure accurate interpretation of prior results, we are withdrawing the paper entirely