On the automorphism group of polar codes
WebHowever, the PSC framework is ineffective for permutations falling into the lower-triangular affine (LTA) automorphism group, as they are invariant under SC decoding. As such, a larger block lower-triangular affine (BLTA) group that contains SC-variant permutations was discovered for decreasing polar codes. Web21 de fev. de 2024 · The automorphism groups of the Reed-Muller and eBCH codes limit the efficiency of their polar-like decoding for long codes, hence we either should focus on short lengths or find another way. We demonstrate that asymptotically same restrictions (although with a slower convergence) hold for more relaxed condition that we call partial …
On the automorphism group of polar codes
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Webresearchmapは、日本の研究者情報を収集・公開するとともに、研究者等による情報発信の場や研究者等の間の情報交換の場を提供することを目的として、国立研究開発法人科学技術振興機構（JST）が運営するサービスです。 Web24 de jan. de 2024 · The automorphism group of a code is the set of permutations of the codeword symbols that map the whole code onto itself. For polar codes, only a part …
Web26 de jun. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders … Webas automorphism ensemble (AE) decoding. Lower-triangular affine (LTA) transformations form a sub-group of the automorphism group of polar codes [9]. However, these transformations commute with SC decoding [8], leading to no gain under AE decoding. In [10], [11], the block-lower-triangular affine (BLTA) group was proved to be the
WebExample: Some belief-propagation decoder of polar codes uses the Aut of RM codes (not the Aut of polar codes) to permute the Tanner graph. It is easier to analyze the code … WebThe main code is contained in the files: CodeEnv.py: environment class based on OpenAI Gym; utils.py: various helper functions (mainly to implement the permutation preprocessing based on the code's automorphism group) The actual optimization uses RLlib and Tune, both of which are based on Ray. Workflow 0) Initialization
Web20 de jul. de 2024 · The automorphism group of a code is the set of permutations of the codeword symbols that map the whole code onto itself. For polar codes, only a part of …
Web25 de jan. de 2024 · Abstract: In this paper, we propose an analysis of the automorphism group of polar codes, with the aim of designing codes tailored for automorphism ensemble (AE) decoding. Using a novel description of polar codes as monomial codes through negative monomials, we prove the equivalence between the notion of … side cut short hairWeb17 de out. de 2024 · In [10], [11], the blocklower-triangular affine (BLTA) group was proved to be the complete affine automorphism group of a polar code. In [10], [12] , BLTA transformations were successfully applied ... side cutter and long noseWeb16 de fev. de 2024 · In this paper we deal with polar code automorphisms that are beneficial under low-latency automorphism ensemble (AE) decoding, and we propose … side cutter overlocking foot attachmentWebof the polar code factor graph, decoders using the concept of factor graph permutations are proposed in [4], [5] and [6]. A different approach is to use the symmetries in the code … side cutter overlocking footWeb11 de dez. de 2024 · The Complete Affine Automorphism Group of Polar Codes Abstract: Recently, a permutation-based successive cancellation (PSC) decoding framework … side cut shirts for guysWebAbstract—The automorphism group of a code is the set of permutations of the codeword symbols that map the whole code onto itself. For polar codes, only a part of the … side cutter for tractorWeb16 de jan. de 2024 · DOI: 10.1109/REDUNDANCY48165.2024.9003333 Corpus ID: 58014122; Permutation Decoding of Polar Codes @article{Kamenev2024PermutationDO, title={Permutation Decoding of Polar Codes}, author={Mikhail Kamenev and Yulia Kameneva and Oleg F. Kurmaev and Alexey Maevskiy}, journal={2024 XVI International … side cuts in shorts diy