| Paper ID | D3-S1-T2.2 |
| Paper Title |
Design of Polar Code Lattices of Finite Dimension |
| Authors |
Obed Rhesa Ludwiniananda, Telkom University, Indonesia; Ning Liu, JAIST, Japan; Khoirul Anwar, Telkom University, Indonesia; Brian Kurkoski, JAIST, Japan |
| Session |
D3-S1-T2: Lattice Coding |
| Chaired Session: |
Wednesday, 14 July, 22:00 - 22:20 |
| Engagement Session: |
Wednesday, 14 July, 22:20 - 22:40 |
| Abstract |
Polar code lattices are formed from binary polar codes using Construction D. In this paper, we propose a design technique for finite-dimension polar code lattices. The dimension $n$ and target probability of decoding error are parameters for this design. To select the rates of the Construction D component codes, rather than using the capacity as in past work, we use the explicit finite-length properties of the polar code. Under successive cancellation decoding, density evolution allows choosing code rates that satisfy the equal error probability rule. At an error-rate of $10^{-4}$, a dimension $n=128$ polar code lattice achieves a VNR of 2.5 dB, within 0.2 dB of the best-known BCH code lattice, but with significantly lower decoding complexity.
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