English

Fast CRCs (Extended Version)

Information Theory 2010-09-30 v1 math.IT

Abstract

CRCs have desirable properties for effective error detection. But their software implementation, which relies on many steps of the polynomial division, is typically slower than other codes such as weaker checksums. A relevant question is whether there are some particular CRCs that have fast implementation. In this paper, we introduce such fast CRCs as well as an effective technique to implement them. For these fast CRCs, even without using table lookup, it is possible either to eliminate or to greatly reduce many steps of the polynomial division during their computation.

Keywords

Cite

@article{arxiv.1009.5949,
  title  = {Fast CRCs (Extended Version)},
  author = {Gam D. Nguyen},
  journal= {arXiv preprint arXiv:1009.5949},
  year   = {2010}
}

Comments

64 pages, 43 figures, an extended version of a published journal paper

R2 v1 2026-06-21T16:21:08.695Z