用李氏度规求球体积的方法及其应用

2020 Information Theory and Applications Workshop (ITA) Pub Date : 2020-02-02 DOI:10.1109/ITA50056.2020.9244935

Sagnik Bhattacharya, Adrish Banerjee

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引用次数: 0

摘要

我们开发了一般的技术来限制给定半径r的球的大小对于q-ary离散度量，使用度规的生成函数和Sanov定理，在Hamming度规的情况下，它简化为已知的界限，并在Lee度规的情况下给出了一个新的界限。我们使用开发的技术来找到Lee度规的Hamming, Elias-Bassalygo和Gilbert-Varshamov界。

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A method to find the volume of a sphere in the Lee metric, and its applications

We develop general techniques to bound the size of the balls of a given radius r for q-ary discrete metrics, using the generating function for the metric and Sanov’s theorem, that reduces to the known bound in the case of the Hamming metric and gives us a new bound in the case of the Lee metric. We use the techniques developed to find Hamming, Elias-Bassalygo and Gilbert-Varshamov bounds for the Lee metric.

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2020 Information Theory and Applications Workshop (ITA)

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