《编码理论注释》
《Notes on Coding Theory》
2001
简介：
这些笔记是多年来作为密歇根州立大学代数编码理论高级本科生/研究生课程的一部分编写的。它们最初打算出版成书，但现在似乎不太可能了。这里的材料仍然很有趣、很重要、很有用；但是，鉴于过去十年编码理论的迅猛发展，需要进行大量的扩展。
最古老的部分在附录中，已有十年以上的历史，而最新的部分在最后两章中，是在去年编写的。时间跨度长意味着笔记中不同地方的术语和符号可能会有所不同。（例如，Zp、Zp 和 Fp 都表示具有 p 个元素的域，其中 p 是素数。）
还有一些材料需要添加到任何已发布的版本中。这包括第 2 章末尾的图表、索引和内联引用。您将在下一页看到我认为最有用、最有帮助的参考书列表，以及入门书籍列表（重点、难度和质量各不相同）。
英文简介：
These notes were written over a period of years as part of an advanced undergraduate/beginning graduate course on Algebraic Coding Theory at Michigan State University. They were originally intended for publication as a book, but that seems less likely now. The material here remains interesting, important, and useful; but, given the dramatic developments in coding theory during the last ten years, significant extension would be needed.
The oldest sections are in the Appendix and are over ten years old, while the newest are in the last two chapters and have been written within the last year. The long time frame means that terminology and notation may vary somewhat from one place to another in the notes. (For instance, Zp, Zp, and Fp all denote a field with p elements, for p a prime.)
There is also some material that would need to be added to any published version. This includes the graphs toward the end of Chapter 2, an index, and in-line references. You will find on the next page a list of the reference books that I have found most useful and helpful as well as a list of introductory books (of varying emphasis, difficulty, and quality).
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最后更新：2025-03-15 16:46:56