# Polar Codes’ Simplicity, Random Codes’ Durability

@article{Wang2021PolarCS, title={Polar Codes’ Simplicity, Random Codes’ Durability}, author={Hsin-Po Wang and Iwan M. Duursma}, journal={IEEE Transactions on Information Theory}, year={2021}, volume={67}, pages={1478-1508} }

Over any discrete memoryless channel, we offer error correction codes such that: for one, their block error probabilities and code rates scale like random codes’; and for two, their encoding and decoding complexities scale like polar codes’. Quantitatively, for any constants <inline-formula> <tex-math notation="LaTeX">$\pi,\rho >0$ </tex-math></inline-formula> such that <inline-formula> <tex-math notation="LaTeX">$\pi +2\rho < 1$ </tex-math></inline-formula>, we construct a sequence of block…

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