Rains, Eric (2000) Bounds for Self-Dual Codes Over ℤ_4. Finite Fields and Their Applications, 6 (2). pp. 146-163. ISSN 1071-5797. https://resolver.caltech.edu/CaltechAUTHORS:20171003-100542142
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Abstract
New bounds are given for the minimal Hamming and Lee weights of self-dual codes over ℤ_4. For a self-dual code of length n, the Hamming weight is bounded above by 4[n/24]+f(n mod 24), for an explicitly given function f; the Lee weight is bounded above by 8[n/24]+g(n mod 24), for a different function g. These bounds appear to agree with the full linear programming bound for a wide range of lengths. The proof of these bounds relies on a reduction to a problem of binary codes, namely that of bounding the minimum dual distance of a doubly even binary code.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2000 Academic Press. Received 3 February 1998, Revised 25 January 1999. | |||||||||
| Subject Keywords: | Hamming, Lee, bounds; self-dual Full-size image Z4 code | |||||||||
| Issue or Number: | 2 | |||||||||
| Record Number: | CaltechAUTHORS:20171003-100542142 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171003-100542142 | |||||||||
| Official Citation: | Eric Rains, Bounds for Self-Dual Codes Over Z4, Finite Fields and Their Applications, Volume 6, Issue 2, April 2000, Pages 146-163, ISSN 1071-5797, https://doi.org/10.1006/ffta.1999.0258. (http://www.sciencedirect.com/science/article/pii/S1071579799902587) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 81985 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 03 Oct 2017 21:01 | |||||||||
| Last Modified: | 03 Oct 2019 18:49 |
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