English

In-Memory Non-Binary LDPC Decoding

Distributed, Parallel, and Cluster Computing 2025-08-06 v1 Computational Engineering, Finance, and Science

Abstract

Low-density parity-check (LDPC) codes are an important feature of several communication and storage applications, offering a flexible and effective method for error correction. These codes are computationally complex and require the exploitation of parallel processing to meet real-time constraints. As advancements in arithmetic and logic unit technology allowed for higher performance of computing systems, memory technology has not kept the same pace of development, creating a data movement bottleneck and affecting parallel processing systems more dramatically. To alleviate the severity of this bottleneck, several solutions have been proposed, namely the processing in-memory (PiM) paradigm that involves the design of compute units to where (or near) the data is stored, utilizing thousands of low-complexity processing units to perform out bit-wise and simple arithmetic operations. This paper presents a novel efficient solution for near-memory non-binary LDPC decoders in the UPMEM system, for the best of our knowledge the first real hardware PiM-based non-binary LDPC decoder that is benchmarked against low-power GPU parallel solutions highly optimized for throughput performance. PiM-based non-binary LDPC decoders can achieve 76 Mbit/s of decoding throughput, which is even competitive when compared against implementations running in edge GPUs.

Keywords

Cite

@article{arxiv.2508.03567,
  title  = {In-Memory Non-Binary LDPC Decoding},
  author = {Oscar Ferraz and Vitor Silva and Gabriel Falcao},
  journal= {arXiv preprint arXiv:2508.03567},
  year   = {2025}
}

Comments

23 pages, 10 figures, and 4 tables