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Published September 1974 | Published
Journal Article Open

A low-rate improvement on the Elias bound

Abstract

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 bound has the same derivative(-infty) at R = 0 as Gilbert's lower bound. (Elias' bound has derivative-ln 2 at R = 0).

Additional Information

© 1974 IEEE. Reprinted with permission. Manuscript received January 21, 1974. This work was supported by NASA under Contract NAS 7-100.

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August 22, 2023
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