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. https://resolver.caltech.edu/CaltechAUTHORS:WELieeetit74
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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).
| Item Type: | Article | ||||||||||||
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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 | ||||||||||||
| DOI: | 10.1109/TIT.1974.1055279 | ||||||||||||
| Record Number: | CaltechAUTHORS:WELieeetit74 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:WELieeetit74 | ||||||||||||
| 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 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Archive Administrator | ||||||||||||
| Deposited On: | 29 Nov 2006 | ||||||||||||
| Last Modified: | 08 Nov 2021 20:32 |
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