Linear and Nonlinear Binary Kernels of Polar Codes of Small Dimensions With Maximum Exponents

  title={Linear and Nonlinear Binary Kernels of Polar Codes of Small Dimensions With Maximum Exponents},
  author={Hsien-Ping Lin and Shu Lin and Khaled A. S. Abdel-Ghaffar},
  journal={IEEE Transactions on Information Theory},
Polar codes are constructed based on kernels with polarizing properties. The performance of a polar code is characterized asymptotically in terms of the exponent of its kernel. The pioneering work of Arıkan on polar codes is based on a linear kernel of dimension two and exponent 0.5. In this paper, constructions of linear and nonlinear binary kernels of dimensions up to 16 are presented. The kernels are obtained using computer search or by shortening longer kernels obtained by computer search… CONTINUE READING
Highly Cited
This paper has 22 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-9 of 9 extracted citations

Design and Performance of the Polar Coded Modulation for High Mobility Communications

2018 IEEE 87th Vehicular Technology Conference (VTC Spring) • 2018
View 2 Excerpts

Minimum-Distance Based Construction of Multi-Kernel Polar Codes

GLOBECOM 2017 - 2017 IEEE Global Communications Conference • 2017
View 1 Excerpt

Multi-kernel construction of polar codes

2017 IEEE International Conference on Communications Workshops (ICC Workshops) • 2017
View 1 Excerpt


Publications referenced by this paper.
Showing 1-10 of 30 references

Channel polarization on q-ary discrete memoryless channels by arbitrary kernels

2010 IEEE International Symposium on Information Theory • 2010
View 7 Excerpts
Highly Influenced

Polar Codes: Characterization of Exponent, Bounds, and Constructions

IEEE Transactions on Information Theory • 2009
View 6 Excerpts
Highly Influenced

A new description of the Nadler code (Corresp.)

IEEE Trans. Information Theory • 1972
View 5 Excerpts
Highly Influenced

A 32-point n=12, d=5 code (Corresp.)

IRE Trans. Information Theory • 1962
View 5 Excerpts
Highly Influenced

The extended Nadler code is unique (Corresp.)

IEEE Trans. Information Theory • 1977
View 3 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…