Title :
Abelian group codes, duality and MacWilliams identities
Author :
Ericson, Thomas ; Zinoviev, Victor
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
The concept of dual codes is formulated in terms of characters and abelian groups. The MacWilliams transform is established under general conditions. It is demonstrated that this transform can naturally be regarded as a partitioning of a Fourier transform
Keywords :
Fourier transforms; dual codes; group theory; Fourier transform partitioning; MacWilliams identities; MacWilliams transform; abelian group codes; dual codes; duality; Algebra; Discrete Fourier transforms; Fourier transforms; Gold; Information theory; Tellurium; Tensile stress;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.550298