论文标题
二进制不对称通道代码的参数
Parameters of Codes for the Binary Asymmetric Channel
论文作者
论文摘要
我们介绍了二进制向量之间的两个差异概念，它们通常不是度量函数，而是捕获二进制不对称通道的数学结构。反过来，这些导致了两个新的基本参数的二进制误差校正代码，这两者都衡量了最大似然解码器失败的概率。然后，我们根据这些新参数得出了二进制代码的基数和权重分布的各种界限，并为符合范围的代码示例提供了平等。
We introduce two notions of discrepancy between binary vectors, which are not metric functions in general but nonetheless capture the mathematical structure of the binary asymmetric channel. In turn, these lead to two new fundamental parameters of binary error-correcting codes, both of which measure the probability that the maximum likelihood decoder fails. We then derive various bounds for the cardinality and weight distribution of a binary code in terms of these new parameters, giving examples of codes meeting the bounds with equality.
