# Energy-Minimizing Error-Correcting Codes

@article{Cohn2014EnergyMinimizingEC, title={Energy-Minimizing Error-Correcting Codes}, author={Henry Cohn and Yufei Zhao}, journal={IEEE Transactions on Information Theory}, year={2014}, volume={60}, pages={7442-7450} }

We study a discrete model of repelling particles, and we show using linear programming bounds that many familiar families of error-correcting codes minimize a broad class of potential energies when compared with all other codes of the same size and block length. Examples of these universally optimal codes include Hamming, Golay, and Reed-Solomon codes, among many others, and this helps to explain their robustness as the channel model varies. Universal optimality of these codes is equivalent to…

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## 17 Citations

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