编码理论

hellen

【文件名】:06630@52RD_Codes and Curves.rar
【格　式】:rar
【大　小】:369K
【简　介】:These notes summarize a series of lectures I gave as part of the
IAS/PCMI Mentoring Program forWomen in Mathematics, held May
17-27, 1999 at the Institute for Advanced Study in Princeton, NJ
with funding from the National Science Foundation. The material
included is not original, but the exposition is new. The booklet [LG]
also contains an introduction to algebraic geometric coding theory,
but its intended audience is researchers specializing in either coding
theory or algebraic geometry and wanting to understand the connections
between the two subjects. These notes, on the other hand, are
designed for a general mathematical audience. In fact, the lectures
were originally designed for undergraduates.
【目　录】:
Chapter 1. Introduction to Coding Theory
Chapter 2. Bounds on Codes
Chapter 3. Algebraic Curves
Chapter 4. Nonsingularity and the Genus
Chapter 5. Points, Functions, and Divisors on Curves
Chapter 6. Algebraic Geometry Codes
Chapter 7. Good Codes from Algebraic Geometry