Construction of Simultaneously Good Polar Codes and Polar Lattices

Ling Liu; Ruimin Yuan; Shanxiang Lyu; Cong Ling; Baoming Bai

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arXiv · 2501.11931

Construction of Simultaneously Good Polar Codes and Polar Lattices

Ling Liu·Ruimin Yuan·Shanxiang Lyu·Cong Ling·Baoming Bai

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Abstract

In this work, we investigate the simultaneous goodness of polar codes and polar lattices. The simultaneous goodness of a lattice or a code means that it is optimal for both channel coding and source coding simultaneously. The existence of such kind of lattices was proven by using random lattice ensembles. Our work provides an explicit construction based on the polarization technique.

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Ling Liu, Ruimin Yuan, Shanxiang Lyu, Cong Ling, Baoming Bai. 2025-01-21. Construction of Simultaneously Good Polar Codes and Polar Lattices. https://arxiv.org/abs/2501.11931

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