Error-Correcting Linear Codes
Classification by Isometry and Applications
Adalbert Kerber ; Axel Kohnert ; Anton Betten, Michael Braun, Harald Fripertinger, Alfred Wassermann
2006, Heidelberg, Springer, ISBN/ISSN/ISMV Nummer:9783540283713
The fascinating theory of error-correcting codes is a rather new addition to the list of mathematical disciplines. It grew out of the need to communicate information electronically, and is currently no more than 60 years old. Being an applied discipline by definition, a surprisingly large number of pure mathematical areas tie into Coding Theory. If one were to name just the most important connections, one would start of course with Linear Algebra, then list Algebra and Combinatorics, and further mention Number Theory and Geometry as well as Algebraic Geometry.