Topics in geometry, coding theory and cryptography

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, sphe...

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Bibliographic Details
Other Authors: Garcia, Arnaldo (-), Stichtenoth, H. (Henning), 1944-
Format: eBook
Language:Inglés
Published: Dordrecht : Springer c2007.
Series:Algebras and applications ; v. 6.
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461002906719
Table of Contents:
  • EXPLICIT TOWERS OF FUNCTION FIELDS OVER FINITE FIELDS; FUNCTION FIELDS OVER FINITE FIELDS AND THEIR APPLICATIONS TO CRYPTOGRAPHY; ARTIN-SCHREIER EXTENSIONS AND THEIR APPLICATIONS; PSEUDORANDOM SEQUENCES; GROUP STRUCTURE OF ELLIPTIC CURVES OVER FINITE FIELDS AND APPLICATIONS