On the automorphism group of polar codes

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August undefined, 2024

Web26 de jun. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders … WebThis article is published in Proceedings of The London Mathematical Society.The article was published on 1978-07-01. It has received 29 citation(s) till now. The article focuses on the topic(s): Frobenius group & Sylow theorems.

The Complete Affine Automorphism Group of Polar Codes

Web25 de mar. de 2024 · Related works on automorphism group of RM and Polar codes. In this paper, we prove that for decreasing codes, per-arXiv:2103.14215v1 [cs.IT] 26 Mar 2024. 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 … north carolina state bug

Polar Codes for Automorphism Ensemble Decoding Request …

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 … WebThree-dimensional algebraic models, also called Genetic Hotels, are developed to represent the Standard Genetic Code, the Standard tRNA Code (S-tRNA-C), and the Human tRNA code (H-tRNA-C). New algebraic concepts are introduced to be able to describe these models, to wit, the generalization of the 2n-Klein Group and the concept of a subgroup … Web《Hadronic Journal》共发表177篇文献，掌桥科研收录2004年以来所有《Hadronic Journal》期刊内所有文献， ISSN为0162-5519， north carolina state center health statistics

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[PDF] Permutation Decoding of Polar Codes Semantic Scholar

Web16 de fev. de 2024 · automorphism group of polar codes [12], researchers used this. group under AE decoding; however, SC decoding was proved. to be invariant under L T A automorphisms, and SC-based AE. Web21 de out. de 2024 · In this paper we deal with polar code automorphisms that are beneficial under low-latency automorphism ensemble (AE) decoding, and we propose polar code designs that have such automorphisms. Successive-cancellation (SC) decoding and thus SC-based AE decoding are invariant with respect to the only known polar code … how to reset dolphin settingsWebIn this paper we deal with polar code automorphisms that are beneficial under low-latency automorphism ensemble (AE) decoding, and we propose polar code designs that have such automorphisms. Successive-cancellation (SC) decoding and thus SC-based AE decoding are invariant with respect to the only known polar code automorphisms, … how to reset dsi parental controls

"WebMathematician/Senior Research Engineer at Dr. Vladimir Ivanov Coding Competence Center. Huawei Technologies. окт. 2024 – май 20248 месяцев. Moscow. I am Applied Mathematician/Software Engineer who together with my team members invent and/or construct algorithms for ABC - Codes and Soft decoders (Code on the Graph): A. " - On the automorphism group of polar codes

On the automorphism group of polar codes

[2102.08250] Polar Codes for Automorphism Ensemble Decoding

Web2101.09679 - Free download as PDF File (.pdf), Text File (.txt) or read online for free. WebPolar codes have been recently shown to have an automorphism group larger than the lower-triangular affine group. Permutations from this group can be used in an automorphism successive cancellation (SC) decoding algorithm providing a lower latency compared to that of successive cancellation list decoding. In this paper, we demonstrate …

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Web24 de jan. de 2024 · For polar codes, only a part of the automorphism group was known, namely the lower-triangular affine group (LTA), which is solely based upon the partial … Web9 de mai. de 2024 · The variables in (4) are the binary representations of code bit indices, and thus affine transformations represent code bit permutations. The automorphism group of any R (r, n) Reed-Muller code is known to be the complete affine group G A (n) [WilliamsSloane], while the affine automorphism group of polar codes is the block …

Web16 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 … WebThe 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 automorphism group …

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. Web7 de jun. de 2024 · In this paper, we propose an analysis of the automorphism group of polar codes, with the scope of designing codes tailored for automorphism ensemble …

Web23 de mar. de 2024 · 1. Introduction. There have been many recent advancements in the categorical approach toward probability theory and statistics. For example, the Kolmogorov zero-one law, Basu’s theorem, Fisher–Neymann factorization, de Finetti’s theorem, the d-separation criterion and the ergodic decomposition theorem have all been proved … north carolina state citation builderWeb24 de jan. de 2024 · Abstract: 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 … north carolina state building code 2022Webresearchmap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。 north carolina state bushWeb17 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 ... north carolina state capitol buildingWebPolar Codes for Automorphism Ensemble Decoding @article{Pillet2024PolarCF, title={Polar Codes for Automorphism Ensemble Decoding}, author={Charles Pillet and Valerio Bioglio and Ingmar Land}, journal={2024 IEEE Information Theory Workshop (ITW)}, year={2024}, pages={1-6} } Charles Pillet, V. Bioglio, I. Land; Published 16 February 2024 how to reset dts profileWebas 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 how to reset drivers on pc keybindWebof 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 … north carolina state computer science ranking