✦ LIBER ✦

Topics in Geometry, Coding Theory and Cryptography

✍ Scribed by Arnaldo Garcia, Henning Stichtenoth (auth.), Arnaldo Garcia, Henning Stichtenoth (eds.)

Book ID: 127445064
Publisher: Springer
Year: 2007
Tongue: English
Weight: 3 MB
Edition: 1
Category: Library
City: Dordrecht
ISBN: 1402053347
DOI: 10.1007/1-4020-5334-4

No coin nor oath required. For personal study only.

✦ Synopsis

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches.

This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use.

✦ Subjects

Data Encryption

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