On the automorphism group of polar codes
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. 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.
On the automorphism group of polar codes
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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 Webparameter, polar codes will be decreasing monomial codes [6], [12]. In this way, polar codes can be generated by I min, where the information set is the smallest decreasing set containing I min. From now on, we always suppose Iis decreasing. B. Affine automorphism group Let C be a decreasing monomial code with length n. A
Web1 de dez. de 2024 · The variables in (1) are the binary representations of code bit indices, and thus affine transformations represent code bit permutations. The automorphism … 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 …
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 … Web11 de dez. de 2024 · The Complete Affine Automorphism Group of Polar Codes Abstract: Recently, a permutation-based successive cancellation (PSC) decoding framework …
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] …
Web20 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 … fluor in sugar landWebMathematician/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. fluorine unpaired electronsWeb25 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 … greenfield puppies submission formWeb25 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 … fluor internet of thingsWeb26 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 … flu or infectionWeb17 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 ... fluorine wikiWeb26 de jun. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders … greenfield quarry