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C.8 Decoding codes with Groebner bases

This section introduces some of the mathematical notions, definitions, and results for solving decoding problems and finding the minimum distance of linear (and in particular cyclic) codes. The material presented here should assist the user in working with decodegb_lib. More details can be obtained from [BP2008b].

C.8.1 Codes and the decoding problem  
C.8.2 Cooper philosophy  
C.8.3 Generalized Newton identities  
C.8.4 Fitzgerald-Lax method  
C.8.5 Decoding method based on quadratic equations  
C.8.6 References for decoding with Groebner bases