Decimal Error Checking Systems Bibliography (10/12/2001)

Prepared by:

Joseph Malkevitch
Mathematics and Computing Department
York College (CUNY)
Jamaica, New York 11451-0001

Email: (for additions, suggestions, and corrections)

Backhouse, J., Retail article numbering and bar codes, Bull. Inst. for Math. and Its Appl., 19 (1983) 17-18.

Beckley, D., An optimum system with "modulus," Computer Bulletin (1967) 213-215.

Brown, D., Construction of error detection and error correction codes to any base, Electronic Letters ( (1973) 290.

Briggs, T., Weights for modulus 97 systems, Computer Bulletin, 15 (1971) 79.

Connor, S., The invisible border guard, New Scientist, Jan. 5, 1984, p. 9-14.

Collins, D., and N. Whipple, Using Bar Code, Data Capture Institute, Duxbury, 1990.

Davidson, L., Retrieval of misspelled names in an airline passenger record system, Communications of the ACM, 5 (1962) 169-171.

Ecker, A., and G. Poch, Check character systems, Computing 37 (1986) 277-301.

Gallian, J., The ZIP code bar code, UMAP Journal, 7 (1986) 191-195.

Gallian, J., Assigning driver's license numbers, Mathematics Magazine, 64 (1992) 13-22.

Gallian, J., The mathematics of identification numbers, College Mathematics Journal, 22 (1991) 194-202.

Gallian, J., and S. Winters, Modular arithmetic for the marketplace, American Mathematical Monthly, 95 (1988) 548-551.

Gumm, H., A new class of checkdigit methods for arbitrary number systems, IEEE Trans. on Information Theory, 31 (1985) 102-105.

Gumm, H., Encoding of numbers to detect typing errors, International Journal of Applied Engineering Education, 2 (1986) 61-65.

Harmon, C., and R. Adams, Reading Between the Lines, Helmers, Peterborough, 1989.

Kirkland, J., Identification Numbers and Check Digit Schemes, MAA, Washington, 2001.

Rae, I., Machine readable codes, New Zealand Mathematics Magazine, 21 (1984) 109-113.

Savir, D., and G. Laurer, The characteristics and decodability of the Universal Product Code symbol, IBM Systems Journal, 14 (1975) 16-34.

Schuz, R.-H., Some check digit systems over non-Abelian groups, MITT. Math. Ges. Hamb. 12 (1991) 819-827.

Sethi, A., and V. Rajaraman, P. Kenjale, An error-correcting coding system for alphanumeric data, Information Processing Letters, 7 (1978) 72-77.

Tuchinsky, P., International Standard Book Numbers, UMAP Journal, 6 (1985) 41-54.

Verhoeff, J., Error detecting decimal codes, Mathematical Centre Tract 29, Amsterdam, 1969.

Wagner, N., and P. Putter, Error detecting decimal digits, Communications of the ACM, 32 (1989) 106-110.

Winters, S., Error detecting codes using dihedral groups, UMAP Journal.

Wood, E., Self-checking codes - an application of modular arithmetic, Mathematics Teacher, 80 (1987) 312-316.


This work was prepared with partial support from the National Science Foundation (Grant Number: DUE 9555401) to the Long Island Consortium for Interconnected Learning (administered by SUNY at Stony Brook, Alan Tucker, Director).

Back to list of bibliographies