Rains, Eric (1999) Optimal self-dual codes over ℤ_4. Discrete Mathematics, 203 (1-3). pp. 215-228. ISSN 0012-365X. doi:10.1016/S0012-365X(98)00358-6. https://resolver.caltech.edu/CaltechAUTHORS:20171107-074528830
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Abstract
The optimal minimal Euclidean norm of self-dual codes over ℤ_4 is known through length 24; the purpose of the present note is to determine the optimal minimal Hamming and Lee weights in this range. In the process, we classify all Lee-optimal codes of length 18, 21, 23, and 24. In particular, we find a total of 13 inequivalent codes with the same symmetrized weight enumerator as the Hensel-lifted Golay code.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1999 Elsevier Science B.V. Received 17 November 1997, Revised 14 August 1998, Accepted 8 September 1998, Available online 7 September 1999. | |||||||||
| Subject Keywords: | Classification optimal self-dual Z4, code | |||||||||
| Issue or Number: | 1-3 | |||||||||
| DOI: | 10.1016/S0012-365X(98)00358-6 | |||||||||
| Record Number: | CaltechAUTHORS:20171107-074528830 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171107-074528830 | |||||||||
| Official Citation: | Eric Rains, Optimal self-dual codes over Z4, In Discrete Mathematics, Volume 203, Issues 1–3, 1999, Pages 215-228, ISSN 0012-365X, https://doi.org/10.1016/S0012-365X(98)00358-6. (http://www.sciencedirect.com/science/article/pii/S0012365X98003586) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 83014 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 07 Nov 2017 15:57 | |||||||||
| Last Modified: | 15 Nov 2021 19:54 |
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