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Constructions of generalized concatenated codes and their trellis-based decoding complexity

机译:广义级联码的构造及其基于网格的解码复杂度

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摘要

In this article, constructions of generalized concatenated (GC) codes with good rates and distances are presented. Some of the proposed GC codes have simpler trellis complexity than Euclidean geometry (EG), Reed-Muller (RM), or Bose-Chaudhuri-Hocquenghem (BCH) codes of approximately the same rates and minimum distances, and in addition can be decoded with trellis-based multistage decoding up to their minimum distances. Several codes of the same length, dimension, and minimum distance as the best linear codes known are constructed.
机译:本文介绍了具有良好速率和距离的广义级联(GC)代码的构造。某些拟议的GC代码比欧几里德几何(EG),Reed-Muller(RM)或Bose-Chaudhuri-Hocquenghem(BCH)代码具有大约相同的速率和最小距离,具有更简单的网格复杂性,并且可以使用基于网格的多级解码,直到最短距离。构造了几个长度,尺寸和最小距离与已知的最佳线性编码相同的编码。

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