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New shortened subcodes of binary extended QR codes

โœ Scribed by Chen, X.; Reed, I.S.; Yin, X.; Truong, T.K.

Book ID
114448751
Publisher
The Institution of Electrical Engineers
Year
1994
Tongue
English
Weight
366 KB
Volume
141
Category
Article
ISSN
1350-2425

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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