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Algebraic decoding beyond e/sub BCH/ of some binary cyclic codes, when e

机译:当e

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摘要

For a number of binary cyclic codes with ee'>or=e can be decoded. The correctness of three of these algorithms is (partly) based on an exhaustive computer search; in all other cases, the algebraic proof is given in detail. It seems likely that many more cyclic codes can be decoded with these methods.
机译:对于具有e e'> or = e的错误模式才能被解码。这三种算法的正确性(部分)基于详尽的计算机搜索。在所有其他情况下,将详细给出代数证明。这些方法似乎可以解码更多的循环码。

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