Algebraische Kodierungstheorie (326.267)
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Franz Winkler
326.267, WS 2000/2001
Tue 13:45-15:15, Place: K 223B
- Short description:
-
The basic problem in coding theory is how to add a little bit of
extra information to a message, so that few errors in the transmission
can be corrected.
The goal of this course is to describe the development of algorithms
in coding theory from methods in commutative algebra and algebraic
geometry.
Typical algebraic and geometric codes are BCH codes, Reed-Solomon codes,
and the relatively new algebraic-geometric Goppa codes.
We will also discuss the foundations of such codes in algebraic geometry,
e.g. the theory of algebraic curves and divisors on curves.
Basic references:
- J.H. van Lint:
Introduction to Coding Theory, 2nd ed., Springer-Verlag Berlin, 1992
- O. Pretzel: Codes and Algebraic Curves, Oxford Univ. Press,
1998
Maintainer:
Franz.Winkler@risc.uni-linz.ac.at
Last Modification: October 4, 2000
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