Weight Distributions for Successive Cancellation Decoding of Polar Codes

08/19/2019

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by   Rina Polyanskaya, et al.

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In this paper, we derive the exact weight distributions for the successive cancellation decoding of polar codes. The results allow to get an estimate of the decoding error probability and to show a link between the first nonzero components of the weight distribution and the partial order between the synthetic channels. Furthermore, we prove a statement on the minimal distance between cosets for the successive cancellation list decoding.