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Techniques for correcting errors and erasures using a single-shot generalized minimum distance key equation solver

机译:使用单次广义最小距离关键方程求解器校正错误和删除的技术

摘要

A system corrects errors in a codeword. The system includes a channel that sorts reliability numbers of symbols in the codeword to create an ordered list of candidate erasure locations. The system also includes a generalized minimum distance decoder that iteratively processes the ordered list of candidate erasure locations and at least two syndromes of the codeword using a single-shot key equation solver to generate an error locator polynomial and an error evaluator polynomial. The generalized minimum distance decoder processes the least reliable candidate erasure locations first within the ordered list of candidate erasure locations.
机译:系统会纠正代码字中的错误。该系统包括对码字中的符号的可靠性编号进行排序以创建候选擦除位置的有序列表的通道。该系统还包括通用的最小距离解码器,其使用单发式密钥方程求解器迭代地处理候选擦除位置和码字的至少两个校验子的有序列表,以生成错误定位多项式和错误评估多项式。广义最小距离解码器首先在候选擦除位置的有序列表中处理最不可靠的候选擦除位置。

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