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Codes satisfying the chain condition

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2 Author(s)
Encheva, S. ; Tech. Univ. Russe, Bulgaria ; Klove, T.

The authors considered weight hierarchies of codes satisfying the chain condition, they called these chain-good. First, they gave a set of simple necessary conditions for a sequence to be chain-good. They proved that given one chain-good sequence, there is an infinite set of chain-good sequences that can be constructed from this one sequence. Finally, they used this result to completely describe the sets of chain-good sequences of dimensions up to 5

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Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 1 )