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Classification of Automorphisms for the Decoding of Polar Codes

Charles Pillet 1, 2, 3 Valerio Bioglio 1 Ingmar Land 1 
3 Lab-STICC_COSYDE - Equipe Communication System Design
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance : UMR6285
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.
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https://hal-imt-atlantique.archives-ouvertes.fr/hal-03617270
Contributor : Charles PILLET Connect in order to contact the contributor
Submitted on : Wednesday, March 23, 2022 - 12:57:45 PM
Last modification on : Friday, October 7, 2022 - 4:46:06 PM
Long-term archiving on: : Friday, June 24, 2022 - 7:05:40 PM

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  • HAL Id : hal-03617270, version 1

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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⟩

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