一种具有高码率、低子分组化水平、小域大小且$d< (n-1)$的显式耦合层再生码构造
信息论
2022-04-07 v3 math.IT
摘要
本文提出了一种再生码(RGC)的显式构造，参数为 ，定义在域 上，码率 。该RGC码可构造为具有任意接近的码率 ，子分组化水平 （其中 ），域大小 不大于 ，且所有码符号均能以相同的最小数据下载量进行修复。
引用
@article{arxiv.1701.07447,
title = {An Explicit, Coupled-Layer Construction of a High-Rate Regenerating Code with Low Sub-Packetization Level, Small Field Size and $d< (n-1)$},
author = {Birenjith Sasidharan and Myna Vajha and P. Vijay Kumar},
journal= {arXiv preprint arXiv:1701.07447},
year = {2022}
}
备注
In the revised version, a correction is made in the rate calculation. The rate reduces and the code fails to be an MSR code. arXiv admin note: text overlap with arXiv:1607.07335