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arXiv · 1007.4371

Improving the Sphere-Packing Bound for Binary Codes over Memoryless Symmetric Channels

Kaveh Mahdaviani·Shervin Shahidi·Shima Haddadi·Masoud Ardakani·Chintha Tellambura
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Abstract

A lower bound on the minimum required code length of binary codes is obtained. The bound is obtained based on observing a close relation between the Ulam's liar game and channel coding. In fact, Spencer's optimal solution to the game is used to derive this new bound which improves the famous Sphere-Packing Bound.

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Kaveh Mahdaviani, Shervin Shahidi, Shima Haddadi, Masoud Ardakani, Chintha Tellambura. 2010-07-26. Improving the Sphere-Packing Bound for Binary Codes over Memoryless Symmetric Channels. https://doi.org/10.1109/allerton.2009.5394906

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