Improving the sphere-packing bound for binary codes over memoryless symmetric channels

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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. ©2009 IEEE.

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Mahdaviani, K., Shahidi, S., Haddadi, S., Ardakani, M., & Tellambura, C. (2009). Improving the sphere-packing bound for binary codes over memoryless symmetric channels. In 2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009 (pp. 553–557). https://doi.org/10.1109/ALLERTON.2009.5394906

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