On the automorphism group of polar codes

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August undefined, 2024

WebPolar 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 Web27 de out. de 2024 · This paper proposes new polar code design principles for the low-latency automorphism ensemble (AE) decoding. Our proposal permits to design a polar …

The Complete Affine Automorphism Group of Polar Codes

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. 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 … how to say where are we going in spanish

[2101.09679v1] On the Automorphism Group of Polar Codes

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 … 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 … 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 … how to say when i am older in spanish

On the Automorphism Group of Polar Codes - NASA/ADS

Transitive Permutation Groups in Which an Involution Central in a …

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 … north little rock cheerleader deathWebPolar 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 … north little rock charging wildcats

"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. " - On the automorphism group of polar codes

On the automorphism group of polar codes

Web17 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 ... Web26 de jun. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders …

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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 … 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 …

Web25 de mar. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders … Web24 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 …

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 … 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。

Web23 de dez. de 2024 · In this paper, we prove that Arikan’s polar codes in fact cannot have many useful permutations in their automorphism group. This result is a direct consequence of the recent characterization of the automorphism groups of decreasing monomial codes [ 10 ] which we plug into the framework of partial symmetry [ 7 , 8 ] .

Web26 de mar. de 2024 · However, the PSC framework is ineffective for permutations falling into the lower-triangular affine (LTA) automorphism group, as they are invariant under SC … north little rock cheerleader diedWeb11 de dez. de 2024 · The Complete Affine Automorphism Group of Polar Codes Abstract: Recently, a permutation-based successive cancellation (PSC) decoding framework … north little rock cheerleaderWebThe 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 … north little rock charging wildcats footballWeb21 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 say where and when in maoriWeb20 de jul. 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 … north little rock city council electionWeb20 de jul. de 2024 · Abstract: Polar codes are the first class of channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels (B-DMC) with … north little rock central high schoolWeb《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 little rock christmas parade