Polar codes and their quantum-domain counterparts

Z Babar, ZBK Egilmez, L Xiang… - … Surveys & Tutorials, 2019 - ieeexplore.ieee.org
… of the polar encoder, decoders as well as their code construction methods. We also extend
our discussions to quantum polar codes … and the syndrome-based quantum polar decoders. …

Deep learning-aided belief propagation decoder for polar codes

W Xu, X Tan, Y Be'ery, YL Ueng… - IEEE Journal on …, 2020 - ieeexplore.ieee.org
… In the construction of a P(N,K) polar code, the N discrete channels are divided into reliable
… the construction of polar codes. Throughout this paper, polar codes are constructed based …

On the automorphism group of polar codes

M Geiselhart, A Elkelesh, M Ebada… - 2021 IEEE …, 2021 - ieeexplore.ieee.org
… Depending on the design, however, polar codes can have a … in the automorphism group of
polar codes. Furthermore, we … in automorphismbased decoding of polar codes and report a …

Multi-kernel polar codes: Concept and design principles

V Bioglio, F Gabry, I Land… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
… In this paper, we present multi-kernel polar codes, which generalize polar codes by mixing
kernels of different sizes over the same binary alphabet. An explicit construction was given in …

Arikan meets Shannon: Polar codes with near-optimal convergence to channel capacity

V Guruswami, A Riazanov, M Ye - Proceedings of the 52nd Annual ACM …, 2020 - dl.acm.org
… of related works on polar codes, we begin with some context and background on the
phenomenon of channel polarization that lies at the heart of Arıkan’s polar coding approach. …

Polar codes' simplicity, random codes' durability

HP Wang, IM Duursma - IEEE Transactions on Information …, 2020 - ieeexplore.ieee.org
… ), and the only code that achieves the MDP paradigm (suboptimally). If only polar code
achieves the optimal MDP paradigm. We brief the history of polar codes below. Unless stated …

Design of short polar codes for SCL decoding

V Miloslavskaya, B Vucetic - IEEE transactions on …, 2020 - ieeexplore.ieee.org
code. Constructed precoded polar codes are decoded as polar codes with dynamic frozen
bits… Numerical results show that the proposed codes of lengths 32 and 64 significantly reduce …

Near-optimal finite-length scaling for polar codes over large alphabets

HD Pfister, RL Urbanke - IEEE Transactions on Information …, 2019 - ieeexplore.ieee.org
Polar codes are the first codes, with low-complexity encoding … binary polar codes with 2 ×
2 kernels and, for these codes, … In the first part of this work, we consider the q-ary polar codes

The development, operation and performance of the 5G polar codes

ZBK Egilmez, L Xiang, RG Maunder… - … Surveys & Tutorials, 2019 - ieeexplore.ieee.org
… the components of the 3GPP NR polar codes, as well as surveys of … performance of the 3GPP
NR polar codes in the uplink, … This paper focuses on PC-polar and polar coding, where the …

Polar coding for processes with memory

E Şaşoğlu, I Tal - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
… In contrast, we are interested here in whether polar coding can be used directly on channels
… the successive cancellation decoding complexity of polar codes scales with the number of …