Polar code (coding theory)

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In information theory, a polar code is a linear block error correcting code developed by Erdal Arıkan.[1] It is the first code with an explicit construction to provably achieve the channel capacity for symmetric binary-input, discrete, memoryless channels (B-DMC) with polynomial dependence on the gap to capacity. Notably, polar codes have encoding and decoding complexity O(n \log n), which makes them practical for many applications.

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  1. ^ Arikan, E. (July 2009). "Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels". IEEE Transactions on Information Theory 55 (7): 3051–73. arXiv:0807.3917v5. doi:10.1109/TIT.2009.2021379.