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Symmetry codes and their invariant subcodes

โœ Scribed by Vera Pless


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
484 KB
Volume
18
Category
Article
ISSN
0097-3165

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On the Cyclicity of Goppa Codes, Parity-
โœ Thierry P. Berger ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

Classical Goppa codes are a special case of Alternant codes. First we prove that the parity-check subcodes of Goppa codes and the extended Goppa codes are both Alternant codes. Before this paper, all known cyclic Goppa codes were some particular BCH codes. Many families of Goppa codes with a cyclic

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โœ G. Nebe; E. M. Rains; N. J. A. Sloane ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 202 KB

## Abstract The main theorem in this paper is a farโ€reaching generalization of Gleason's theorem on the weight enumerators of codes which applies to arbitraryโ€genus weight enumerators of selfโ€dual codes defined over a large class of finite rings and modules. The proof of the theorem uses a categori