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A low-rate improvement on the Elias bound

Welch, Lloyd R. and McEliece, Robert J. and Rumsey, Howard, Jr. (1974) A low-rate improvement on the Elias bound. IEEE Transactions on Information Theory, 20 (5). pp. 676-678. ISSN 0018-9448. doi:10.1109/TIT.1974.1055279.

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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).

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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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Issue or Number:5
Record Number:CaltechAUTHORS:WELieeetit74
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Official Citation:L. Welch, R. McEliece and H. Rumsey, "A low-rate improvement on the Elias bound (Corresp.)," in IEEE Transactions on Information Theory, vol. 20, no. 5, pp. 676-678, September 1974. doi: 10.1109/TIT.1974.1055279
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6238
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Deposited On:29 Nov 2006
Last Modified:08 Nov 2021 20:32

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