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. 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 …

Group Properties of Polar Codes for Automorphism Ensemble …

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 … 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 ... how do you cancel a purchase on etsy

[2101.09679v1] On the 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. 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 … WebRecently, 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 … how do you cancel a credit card