Error detecting decimal digits

ABSTRACT

Decimal-oriented error detection schemes are explored in the context of one particular company project.

REFERENCES

• 1: Birkhoff, G., and MacLane, S. A Survey of Modern Algebra. 4th ed. Macmillan, New York, 1977.
• 2: Brinn, L.W, Algebraic coding theory in the undergraduate curriculum. Am. Math. Mon. 91, 8 (Oct. 1984), 509-573.
• 3: Joseph Gallian , Steven Winters, Modular arithmetic in the marketplace, American Mathematical Monthly, v.95 n.6, p.549-551, June/July 1988
• 4: Gumm, H.P. A new class of check-digit methods for arbitrary number systems. IEEE Trans. Inf. Theory 31, 1 (Jan. 1985), 102-105.
• 5: Richard W. Hamming, Coding and information theory (2nd ed.), Prentice-Hall, Inc., Upper Saddle River, NJ, 1986
• 6: Hill, R. A First Course in Coding Theory. Clarendon Press, Oxford, 1986,
• 7: Peterson, W.W., and Weldon, E.J. Error-Correcting Codes. 2d ed. MIT Press, Cambridge, Mass., 1972.
• 8: Verhoeff, J. Error Detecting Decimal Codes. Mathematical Centre Tract 29, The Mathematical Centre, Amsterdam, 1969.

INDEX TERMS

Primary Classification:
  B. Hardware
  B.4 INPUT/OUTPUT AND DATA COMMUNICATIONS
      B.4.5 Reliability, Testing, and Fault-Tolerance**
          Subjects: Error-checking**

Additional Classification:
  E. Data
  E.4 CODING AND INFORMATION THEORY
      Subjects: Nonsecret encoding schemes**

General Terms:
Reliability