English

Large-Block Modular Addition Checksum Algorithms

Data Structures and Algorithms 2023-04-27 v3 Networking and Internet Architecture

Abstract

Checksum algorithms are widely employed due to their use of a simple algorithm with fast computational speed to provide a basic detection capability for corrupted data. This paper describes the benefits of adding the design parameter of increased data block size for modular addition checksums, combined with an empirical approach to modulus selection. A longer processing block size with the right modulus can provide significantly better fault detection performance with no change in the number of bytes used to store the check value. In particular, a large-block dual-sum approach provides Hamming Distance 3-class fault detection performance for many times the data word length capability of previously studied Fletcher and Adler checksums. Moduli of 253 and 65525 are identified as being particularly effective for general-purpose checksum use.

Keywords

Cite

@article{arxiv.2302.13432,
  title  = {Large-Block Modular Addition Checksum Algorithms},
  author = {Philip Koopman},
  journal= {arXiv preprint arXiv:2302.13432},
  year   = {2023}
}

Comments

21 pages, 15 figures

R2 v1 2026-06-28T08:50:00.710Z