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Lattice-theoretic characterizations of the group classes({mathfrak{N}^{k-1}mathfrak{A}})and({mathfrak{N}^k})fork

โœ Scribed by Roland Schmidt

Publisher
Springer
Year
2010
Tongue
English
Weight
179 KB
Volume
96
Category
Article
ISSN
0003-889X

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For any In, k, d; q]-code the Griesmer bound says that n >t ~ F d/q' 7. The purpose of this paper is to characterize all In, k, qk-1 \_ 3q~; q]-codes meeting the Griesmer bound in the case where k >/3, q >~ 5 and 1 ~</~ < k -1. It is shown that all such codes have a generator matrix whose columns co