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TitleAutomorphisms and encoding of AG and order domain codes.
Author(s) John B. Little
TypeBook, Chapter in Book, Conference Proceeding
AbstractWe survey some encoding methods for AG codes, focusing primarily on one approach utilizing code automorphisms. If a linear code C over𝔽qhas a finite Abelian group H as a group of automorphisms, then C has the structure of a module over a polynomial ring ℘. This structure can be used to develop systematic encoding algorithms using Gröbner bases for modules. We illustrate these observations with several examples including geometric Goppa codes and codes from order domains.
ISBN978-3-540-93805-7/hbk; 978-3-5
URL http://link.springer.com/chapter/10.1007%2F978-3-540-93806-4_7
PublisherBerlin: Springer
Translation No
Refereed No