On the automorphism group of polar codes
Web26 de jun. de 2024 · Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders … 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 …
On the automorphism group of polar codes
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WebAs 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 ... 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 …
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 … 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 …
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 … WebIn 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, …
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 …
Web24 de jan. de 2024 · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). greenfig guest houseWeb20 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 … flushable transmitter to find septic tankWebPolar 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 … green fight cardsWeb23 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 ] . green fig colorWeb27 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 … flushable toilet wipes travel packWeb27 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 code with the desired automorphism group (if ... green fig resort and spa reviewsWebThe 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 flushable wet wipes block