Optimal Check Digit Systems Based on Modular Arithmetic

Authors

  • Luerbio Faria UERJ
  • Paulo Eustáquio Duarte Pinto UERJ
  • Natália Pedroza

DOI:

https://doi.org/10.5540/tema.2017.018.01.0105

Keywords:

Check digits, Error detection, Modular arithmetic

Abstract

In this article, we discuss check digits systems based on modular arithmetic, which are used worldwide. Check digits were created to eliminate most errors in data input of computational systems. Though old, a discussion about the optimality of the systems used is not found in the literature. We describe the main existing systems worldwide and highlight those adopted in Brazil. We present the necessary improvements in order to make all systems optimal. We also propose a new optimal system with 3 permutations for systems with modular base 10.

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Published

2017-05-22

How to Cite

Faria, L., Pinto, P. E. D., & Pedroza, N. (2017). Optimal Check Digit Systems Based on Modular Arithmetic. Trends in Computational and Applied Mathematics, 18(1), 105. https://doi.org/10.5540/tema.2017.018.01.0105

Issue

Vol. 18 No. 1 (2017)

Section

Original Article

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