Abstract : This paper proposes new polar code design principles for the low-latency automorphism ensemble (AE) decoding. Our proposal permits to design a polar code with the desired automorphism group (if possible) while assuring the decreasing monomial property. Moreover, we prove that some automorphisms are redundant under AE decoding, and we propose a new automorphisms classification based on equivalence classes. Finally, we propose an automorphism selection heuristic based on drawing only one element of each class; we show that this method enhances the block error rate (BLER) performance of short polar codes even with a limited number of automorphisms.
https://hal-imt-atlantique.archives-ouvertes.fr/hal-03617270 Contributor : Charles PilletConnect in order to contact the contributor Submitted on : Wednesday, March 23, 2022 - 12:57:45 PM Last modification on : Monday, April 4, 2022 - 9:28:32 AM
Charles Pillet, Valerio Bioglio, Ingmar Land. Classification of Automorphisms for the Decoding of Polar Codes. IEEE International Conference on Communications (ICC), May 2022, Seoul, South Korea. ⟨hal-03617270⟩