Synthesis of Multisequences Having Unknown Elements in the Middle with Decoding Applications

Jianwen Zhang, M. A. Armand
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Abstract

We propose an algorithm which incorporates Feng-Tzeng's fundamental iterative algorithm (FIA) for synthesizing multi-sequences containing unknown elements in the middle. This algorithm can be applied to decode the generalized Reed Solomon (GRS) codes whose associated syndrome sequences have unknown elements in the middle. We also show that the proposed algorithm can be used to decode folded Reed Solomon (FRS) codes constructed from any GRS code
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中间未知元素多序列的合成及其译码应用
本文提出了一种结合Feng-Tzeng的基本迭代算法(FIA)来合成中间含有未知元素的多序列的算法。该算法适用于相关综合征序列中间含有未知元素的广义Reed Solomon (GRS)码的解码。我们还证明了该算法可用于解码由任何GRS码构造的折叠Reed Solomon (FRS)码
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