English

Soft-Output from Covered Space Decoding of Product Codes

Information Theory 2025-07-21 v3 math.IT

Abstract

In this work, we propose a new soft-input soft-output decoder called soft-output from covered space (SOCS) decoder. It estimates the a posteriori reliability based on the space explored by a list decoder, i.e., the set of vectors for which the list decoder knows whether they are codewords. This approach enables a more accurate calculation of the a posteriori reliability and results in gains of up to 0.25\,dB for turbo product decoding with SOCS compared to Chase-Pyndiah decoding.

Keywords

Cite

@article{arxiv.2504.15204,
  title  = {Soft-Output from Covered Space Decoding of Product Codes},
  author = {Tim Janz and Simon Obermüller and Andreas Zunker and Stephan ten Brink},
  journal= {arXiv preprint arXiv:2504.15204},
  year   = {2025}
}

Comments

6 pages, 2 figures, 2 tables

R2 v1 2026-06-28T23:05:58.567Z