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【文件名】:06731@52RD_codes.part1.rar
【格 式】:rar
【大 小】:95K
【简 介】:So this is how computing the check digits works. What is it good for?Well,the ISBN was invented at a time when most errors were still made by humans,and not by computers. Suppose you wanted to buy Lang’s Algebraic Number Theory; to prevent you from getting Long’s Algebraic Numbers instead, the friendly clerk at the book store would include the ISBN in the order and so identify the book beyond doubt. (Nowadays everything’s dierent; yet: if you order Long’s Algebraic Numbers at www.half.com, I’ll pay you a coee if you don’t get Lang’s book instead. If anyone is interested in Lang’s book, I have three of them . . . ). Now when humans write down ten digit numbers, they tend to make mistakes. In order to detect these errors, the check digit was introduced. For example, if you’re given the ISBN 0-387-94325-4, you can verify that the formula for the check digit does not give you the right result.Assuming you have done your math correctly, you would assume that there’s something wrong with one of the digits (possibly the check digit itself – you never know).
【目 录】:
1. Motivation
2. Basic Concepts
3. Working with Linear Codes
4. Finite Fields
5. Cyclic Linear Codes
6. Other Classes of Codes
7. Sphere Packings and Codes
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