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Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$

✍ Scribed by Delsarte, Philippe

Book ID
118195720
Publisher
Society for Industrial and Applied Mathematics
Year
1976
Tongue
English
Weight
851 KB
Volume
31
Category
Article
ISSN
0036-1399

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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