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Bounds on constant weight codes correcting localized errors

机译:恒定重量代码上的界限可纠正局部错误

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摘要

We derive upper and lower bounds for constant weight codes on a channel with localized errors. Coding for channels with localized errors is a new branch of coding theory. From a practical point of view it is important to find good, easily decodable codes. From an information theory point of view it is important to investigate how good these codes can be, that is finding the theoretical limits. For conventional error correcting codes a great deal of interest has been directed towards constant weight codes. They have properties which make them interesting in various situations. This fact has motivated us to look at constant weight codes for localized errors.
机译:我们推导具有局部误差的通道上恒权码的上限和下限。具有局部误差的信道编码是编码理论的一个新分支。从实用的角度来看,找到良好的,易于解码的代码很重要。从信息理论的角度来看,重要的是研究这些代码的质量如何,即找到理论极限。对于常规的纠错码,人们一直对恒重码感兴趣。它们具有使它们在各种情况下都变得有趣的属性。这一事实促使我们着眼于恒定权重代码以查找局部误差。

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