Skip to main content
SpringerLink
Log in

A check digit system for hexadecimal numbers

  • Original Paper
  • Published:
Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

We present a new check digit system for hexadecimal numbers which is based on the use of a suitable automorphism of the elementary abelian group of order sixteen. Our system is able to detect all single errors, adjacent transpositions, twin errors, jump transpositions and jump twin errors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Beckley D.F.: An optimum system with modulo 11. Comp. Bull. 11, 213–215 (1967)

    Google Scholar 

  2. Gallian J.A.: Error detection methods. ACM Comput. Surv. 28, 504–517 (1996)

    Article  Google Scholar 

  3. Gallian J.A., Mullin M.D.: Groups with antisymmetric mappings. Arch. Math. 65, 273–280 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  4. Schulz R.-H.: Check character systems over groups and orthogonal latin squares. Appl. Algebra Eng. Comm. Comput 7, 125–132 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  5. Schulz R.-H.: On check digit systems using antisymmetric mappings. In: Althöfer, I. (ed.) Numbers, Information and Complexity, pp. 295–310. Kluwer, Dordrecht (2000)

    Google Scholar 

  6. Verhoeff, J.: Error detecting decimal codes. Math. Centre Tracts 29, Math Centrum Amsterdam(1969)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Oulu, 90014, Oulu, Finland

    Markku Niemenmaa

Authors
  1. Markku Niemenmaa
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Markku Niemenmaa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Niemenmaa, M. A check digit system for hexadecimal numbers. AAECC 22, 109–112 (2011). https://doi.org/10.1007/s00200-011-0139-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00200-011-0139-3

Keywords

Search

Navigation