English

A simple coding-decoding algorithm for the Hamming code

Information Theory 2022-01-07 v1 Discrete Mathematics math.IT

Abstract

In this work, we present a new simple way to encode/decode messages transmitted via a noisy channel and protected against errors by the Hamming method. We also propose a fast and efficient algorithm for the encoding and the decoding process which do not use neither the generator matrix nor the parity-check matrix of the Hamming code.

Keywords

Cite

@article{arxiv.2201.02066,
  title  = {A simple coding-decoding algorithm for the Hamming code},
  author = {Omar Khadir},
  journal= {arXiv preprint arXiv:2201.02066},
  year   = {2022}
}