Polynomials

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Unformatted text preview: 7/7/2009 CNT 3004 ‐ Polynomials Error Detection Method • The International Standard Book Number (ISBN) uniquely identifies a published book with a ten digit number. For example, the book Coding and Information Theory by Richard Hamming, which was used as reference for this discussion, is uniquely coded as: • ISBN 0‐13‐139139‐9 • In common with many similar numbers used in credit cards, price tags, inventory control and membership numbers, the ISBN is specially constructed to incorporate error detection. A study of the method used reveals many fundamental features of a robust error detection scheme (i.e. one which reliably detects errors). • CNT 3004 ‐ Polynomials Error Detection Method • The final digit in the ISBN provides the desired error detection capability. It is added once the book number is issued, and, once complete, the entire ten digit ISBN can be checked for errors whenever it is transcribed or transmitted. ISBN 0‐13‐139139‐9 The final digit is added for error control. 1 7/7/2009 CNT 3004 ‐ Polynomials Error Detection Method ISBN 0‐13‐139139‐9 • • The final digit is added for error c...
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