All polar codes [1] used on this page are optimized for the AWGN channel with a signal-to-noise ratio of 3.0 dB per channel symbol. The codes are constructed using the improved degrading-merge algorithm (Algorithm D in [2]) with parameters μ=128 (μ=2000 for the channel).

The table contains polar codes of length 2^n for n={5,...,14}, using target rates {1/2, 1/3, 2/3, 3/4}. Note that the actual rates are slightly higher in some cases. In addition, the positions of the frozen indices for the rate-1/3 codes are listed in this file. The indices are ordered by increasing error probability of the according bit-channel (see [1] and [2] for details); hence, the frozen indices for the higher-rate codes can be obtained by removing the appropriate number of indices from the beginning of the respective list.

Literature

[1] Arιkan, E.: Channel polarization: a method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Transactions on Information Theory, vol. 55, 2009, pp. 3051–3073.

[2] Tal, I. & Vardy, A: How to Construct Polar Codes. IEEE Transactions on Information Theory, vol. 59, 2013, pp. 6562-6582.