Abstract By using the important concept of stoping distance of the LDPC codes, how to perform about the iterative decoding of the LDPC codes in binary erasure channels is analyzed. In this article, we introduce a class of LDPC codes designed on the premise of the symplectic space over finite fields. An important parameter of stopping distance is estimated mainly and the lower bound on the stopping distance of the code designed on the premise of symplectic space is acquired.

中文翻译：

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有限域上基于辛空间的LDPC码的停止距离

摘要 利用LDPC码的停止距离这一重要概念，分析了二进制擦除信道中LDPC码的迭代译码是如何进行的。在本文中，我们介绍了一类以有限域上的辛空间为前提而设计的 LDPC 码。主要估计了停车距离的一个重要参数，得到了在辛空间前提下设计的代码停车距离的下界。