Jacobus Verhoeff


Jacobus 'Koos' Verhoeff
Born(1927-02-20)February 20, 1927
DiedMarch 19, 2018(2018-03-19) (aged 91)
Alma materUniversity of Amsterdam
Known forError detecting codes, Mathematical art
Scientific career
FieldsMathematics, Computer science
InstitutionsDelft University of Technology, Philips, Erasmus University Rotterdam
ThesisError Detecting Decimal Codes[2] (1969)
Doctoral advisorAdriaan van Wijngaarden, Wouter Peremans

Jacobus "Koos" Verhoeff (20 February 1927 – 19 March 2018)[3] was a Dutch mathematician, computer scientist, and artist. He is known for his work on error detection and correction, and worked on information retrieval.[4] He has also held exhibitions of his mathematically inspired sculptures.

He was best known for his check-digit Verhoeff algorithm, which is based on the dihedral group of order 10.

He was the father of Tom Verhoeff, also a mathematician and computer scientist.

Selected publications

  • Verhoeff, J. (1977). "A New Data Compression Technique". Annals of Systems Research. Springer US. 6: 139–148. doi:10.1007/978-1-4613-4074-4_8. ISBN 978-90-207-0731-1.
  • Verhoeff, Jacobus (1969). Error detecting decimal codes (Ph.D.). Mathematical Centre, Amsterdam.
  • Verhoeff, J. (April 1970). "Wiskundige aspecten van het Nederlandse administratienummer voor personen (Mathematical aspects of the Dutch administration number for persons)". Informatie, Maandblad voor Informatieverwerking (in Dutch). 12 (4): 162–169.
  • Verhoeff, Jacobus; Goffman, W; Belzer, Jack (1961). "Inefficiency of the use of boolean functions for information retrieval systems". Communications of the ACM. Association for Computing Machinery. 4 (12): 557–558. doi:10.1145/366853.366861. S2CID 10188422.
  • Verhoeff, J. (1953). "Recent investigations about the radical of a ring". Rapport ZW. Math. Centrum Amsterdam. 1953–007.
  • Verhoeff, J. "On pseudo-convergent sequences". Nederl. Akad. Wetensch. Proc. Ser. A., (Indagationes Math.). 15 (401–404).


  1. ^ J. Verhoeff at the UvA Album Academicum website.
  2. ^ https://genealogy.math.ndsu.nodak.edu/id.php?id=91952
  3. ^ https://www.ed.nl/cultuur/wiskundige-en-wiskunstenaar-koos-verhoeff-overleden-1927-2018~a4b6925a/
  4. ^ http://www.ams.org/samplings/feature-column/fcarc-verhoeff