On pre-transformed polar codes
Webthan RM (128,64) code. In this paper, we show that pre-transformed polar codes have better distance spectrum It is easy to verify thatthan Polar/RM codes in terms of the … WebApr., 2024 - An Information-Theoretic Perspective on Successive Cancellation List Decoding and Polar Code Design accepted at IEEE TIT. Mar., 2024 - Humbled to be recognized as an Exemplary Reviewer by IEEE TCOM. Dec., 2024 - Successive Cancellation Ordered Search Decoding of Modified -Coset Codes submitted to IEEE TCOM.
On pre-transformed polar codes
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WebBibliographic details on On Pre-transformed Polar Codes. DOI: — access: open type: Informal or Other Publication metadata version: 2024-01-02 Web3 de set. de 2024 · On the Equivalence between Pre-transformed and Parity-check Monomial Codes Abstract: Polar codes and Reed-Muller codes belong to a family of …
Web13 de dez. de 2024 · In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and … Web13 de dez. de 2024 · On Pre-transformed Polar Codes. 13 Dec 2024 · Li Bin , Zhang Huazi , Gu Jiaqi ·. Edit social preview. In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and convolution code (CC) matrix) does not reduce the code minimum distance and an …
Web26 de jun. de 2024 · However, the information length options of RM codes are quite limited due to their specific structure. In this work, we present sufficient conditions to increase the information length by at least one bit for some underlying RM codes and in order to obtain pre-transformed polar-like codes with the same minimum distance than lower rate codes. Web9 de fev. de 2024 · Reed Muller (RM) codes are known for their good minimum distance. One can use their structure to construct polar-like codes with good distance properties by …
WebIn this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and convolution code (CC) matrix) …
Web20 de jul. de 2024 · On the Weight Spectrum of Pre-Transformed Polar Codes Abstract: Polar codes are the first class of channel codes achieving the symmetric capacity of the … sonar asWebList Decoding of Polar Codes: How Large Should the List Be to Achieve ML Decoding? Pages 1594–1599. Previous Chapter Next Chapter. ... “ On pre-transformed polar codes,” arXiv preprint arXiv: 1912.06359, December 2024. Google Scholar [10]. Mondelli M., Hassani S. H., and Urbanke R. L., ... small cuts on foreskin treatmentWebLemma 1. RM codes and polar codes are monomial codes. D. Pre-transformed Monomial Codes Given length N monomial code C, we can transform the code via a binary pre-transformation (PT) matrix T [9], where C T:= fc0= uTH N: u j = 0 if j =2Ig is the pre-transformed code by T. Generally, a PT matrix should satisfy two properties: (i) T is … small cuts in jeansWeb4 de abr. de 2024 · Corpus ID: 257921286. Minimum Distance of PAC Codes v. Polar Codes Using Cyclic Shift Matrices. Mohsen Moradi. Published 4 April 2024. Computer Science. The polarization-adjusted convolutional (PAC) codes are a new family of linear codes that can perform close to the theoretical bounds. These codes make use of both … son appreciation day 2022Web25 de ago. de 2024 · Abstract: In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and convolution code (CC) matrix) does not reduce the code minimum distance and an properly designed pre-transformation can reduce the number of codewords with the minimum … small cuts of beefWeb25 de fev. de 2024 · encoding and decoding algorithms. But the weight spectrum of Polar codes is relatively poor compared to RM codes, which degrades their ML performance. … small cutter crosswordWeb25 de fev. de 2024 · On Pre-transformed Polar Codes B. Li, Huazi Zhang, Jiaqi Gu Computer Science ArXiv 2024 In this paper, we prove that any pre-transformation with … small cuts on tongue