On the 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. 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 …
On the automorphism group of polar codes
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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 ] . 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 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 … 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
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. 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 …
Webof 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 …
Web12 de jul. de 2024 · In [13], [14], the complete affine automorphisms group of a polar code is proved to be the block-lower-triangular affine (BLTA) group. Authors in [12], [13] … laman web hospital umum sarawakWeb26 de jun. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders … laman web islam yang sesatWebRecently, a permutation-based successive cancellation (PSC) decoding framework for polar codes attaches much attention. It decodes several permuted codewords with independent successive cancellation (SC) decoders. Its latency thus can be reduced to that of SC decoding. However, the PSC framework is ineffective for permutations falling into the … jerallWeb20 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 … jera lirik agnes monicaWeb27 de out. de 2024 · 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. jeraline singhWeb《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， jera lirik laguWebAs decreasing monomial codes, polar codes have a large automorphism group. It is first shown in [13] that the auto-mophism group of decreasing monomial codes includes the lower triangular affine group (LTA). Recently in [20], this result has been extended to the block lower triangular affine group (BLTA). Later in [21], it has also been ... jeralla aldo