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Codes over Finite Fields for Multidimensional Signals

โœ Scribed by Xue-dong Dong; Cheong Boon Soh; Erry Gunawan


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
141 KB
Volume
233
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


In this paper, linear block codes over finite fields of the algebraic integer ring of the cyclotomic field Q e 2ฯ€i/n modulo irreducible elements are presented, where


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โœ Gilles Lachaud; Isabelle Lucien; Dany-Jack Mercier; Robert Rolland ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

We study the geometrical properties of the subgroups of the mutliplicative group of a "nite extension of a "nite "eld endowed with its vector space structure and we show that in some cases the associated projective space has a natural group structure. We construct some cyclic codes related to Reed}M