Algebraic Function Fields and Codes

• Main Author: Stichtenoth, Henning (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Graduate Texts in Mathematics, 254
• Subjects: Mathematics.; Data structures (Computer science).; Algebra.; Algebraic geometry.; Information theory.; Applied mathematics.; Engineering mathematics.; Algebraic Geometry.; Data Structures, Cryptology and Information Theory.; Information and Communication, Circuits.; Appl.Mathematics/Computational Methods of Engineering.

The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings an...