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Bibliographic Details
Main Authors: Ellouze, Malek, Tajan, Romain, Leroux, Camille, Jégo, Christophe, Poulliat, Charly
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.05433
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Table of Contents:
  • In this paper, we present a deterministic algorithm to count the low-weight codewords of punctured and shortened pure and pre-transformed polar codes. The method first evaluates the weight properties of punctured/shortened polar cosets. Then, a method that discards the cosets that have no impact on the computation of the low-weight codewords is introduced. A key advantage of this method is its applicability, regardless of the frozen bit set, puncturing/shortening pattern, or pretransformation. Results confirm the method's efficiency while showing reduced computational complexity compared to stateof-the-art algorithms.