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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