# Log-Logarithmic Time Pruned Polar Coding

@article{Wang2021LogLogarithmicTP, title={Log-Logarithmic Time Pruned Polar Coding}, author={Hsin-Po Wang and Iwan M. Duursma}, journal={IEEE Transactions on Information Theory}, year={2021}, volume={67}, pages={1509-1521} }

A pruned variant of polar coding is proposed for binary erasure channel (BEC). Fix any BEC. For sufficiently small <inline-formula> <tex-math notation="LaTeX">$\varepsilon >{0}$ </tex-math></inline-formula>, we construct a series of capacity achieving codes with block length <inline-formula> <tex-math notation="LaTeX">$\text {N}=\varepsilon ^{-{4.9}}$ </tex-math></inline-formula>, code rate <inline-formula> <tex-math notation="LaTeX">$\text {R}=\text {Capacity}-\text {O}(\varepsilon)$ </tex…

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## 6 Citations

### Sublinear Latency for Simplified Successive Cancellation Decoding of Polar Codes

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This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang and shows that most of the latency reduction arises from the parallel decoding of subcodes of rate 0 or 1.

### Parallelism versus Latency in Simplified Successive-Cancellation Decoding of Polar Codes

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The tightness of the bound on SSC decoding latency and the applicability of the foregoing results is validated through extensive simulations.

### Sub-4.7 Scaling Exponent of Polar Codes

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This work proposes a novel Bernoulli sampler based on polar codes, dubbed “po-lar sampler”, and envisage that this sampler can be used for other applications in cryptography in addition to Gaussian sampling.

### Simplified Successive Cancellation Decoding of Polar Codes Has Sublinear Latency

- Computer Science2020 IEEE International Symposium on Information Theory (ISIT)
- 2020

This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang and shows that most of the latency reduction arises from the parallel decoding of subcodes of rate 0 and 1.

### Parallelism versus Latency in Simplified Successive-Cancellation Decoding of Polar Codes

- Computer ScienceIEEE Transactions on Wireless Communications
- 2021

The tightness of the bound on SSC decoding latency is characterized and the applicability of the foregoing results is validated through extensive simulations.

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This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang and shows that most of the latency reduction arises from the parallel decoding of subcodes of rate 0 or 1.

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