Introduction to Coding Theory
Introduction to Coding Theory
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DOI：
10.1007/978-3-642-58575-3
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发表时间：
1982-05
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影响因子：
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通讯作者：
Jacobus H. van Lint
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文献类型：
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作者：
Jacobus H. van Lint
令人欣慰的是，这本教科书仍然很受欢迎，值得第三版。我利用这个机会改进和扩大了这本书。当第二版准备，只有两页代数几何代码被添加。这些现在已被删除，取而代之的是关于这个问题的一个相对较长的章节。虽然它仍然只是一个介绍，这一章需要更多的数学背景的读者比其余的这本书。最近一个非常有趣的发展是关于使用字母表7 l上的代码定义的二进制代码。4.人们对这一领域的兴趣如此之大，以至于增加了一章关于要点的内容。本章的知识将允许读者研究最近的文献7 l。代码. [4]此外，还增加了一些出现在我的Springer Lec ture Notes 201中的材料，但没有包括在本书的早期版本中，例如广义Reed-Solomon码和广义Reed-Muller码。在第2章中，增加了“编码增益”（工程师使用纠错码的理由）一节。对作者来说，准备这第三版是一个最受欢迎的回归数学后，七年的行政。感谢CPLM Baggen、IM Duursma、HDL Hollmann、HCA货车Tilborg和RM Wilson对新材料进行的宝贵讨论。特别感谢RA Pellikaan对第10章的帮助。
It is gratifying that this textbook is still sufficiently popular to warrant a third edition. I have used the opportunity to improve and enlarge the book. When the second edition was prepared, only two pages on algebraic geometry codes were added. These have now been removed and replaced by a relatively long chapter on this subject. Although it is still only an introduction, the chapter requires more mathematical background of the reader than the remainder of this book. One of the very interesting recent developments concerns binary codes defined by using codes over the alphabet 7l. 4• There is so much interest in this area that a chapter on the essentials was added. Knowledge of this chapter will allow the reader to study recent literature on 7l.-codes. 4 Furthermore, some material has been added that appeared in my Springer Lec ture Notes 201, but was not included in earlier editions of this book, eg Generalized Reed-Solomon Codes and Generalized Reed-Muller Codes. In Chapter 2, a section on" Coding Gain"(the engineer's justification for using error-correcting codes) was added. For the author, preparing this third edition was a most welcome return to mathematics after seven years of administration. For valuable discussions on the new material, I thank CPlM Baggen, IM Duursma, HDL Hollmann, HCA van Tilborg, and RM Wilson. A special word of thanks to RA Pellikaan for his assistance with Chapter 10.