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A low-rate improvement on the Elias bound (Corresp.)

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3 Author(s)

An upper bound on the minimum distance of binary blocks codes, which is superior to Elias' bound for R < 0.0509^+ , is obtained. The new hound has the same derivative (-\infty ) at R = 0 as Gilbert's lower bound. (Elias' bound has derivative -\ln 2 at R = 0) .

Published in:

IEEE Transactions on Information Theory  (Volume:20 ,  Issue: 5 )