Norwood, Thomas E. and Xiang, Qing (1997) On GMW Designs and a Conjecture of Assmus and Key. Journal of Combinatorial Theory. Series A, 78 (1). pp. 162-168. ISSN 0097-3165. doi:10.1006/jcta.1996.2755. https://resolver.caltech.edu/CaltechAUTHORS:20170829-161318393
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Abstract
We show that a family of cyclic Hadamard designs defined from regular ovals is a sub-family of a class of difference set designs due to B. Gordon, W. H. Mills and L. R. Welch [Can. J. Math.14(1962), 614–625]. Using a result of R. A. Scholtz and L. R. Welch [IEEE Trans. Inform. Theory30, No. 3 (1984), 548–553] on the linear span of GMW sequences, we give a short proof of a conjecture of Assmus and Key on the 2-rank of this family of designs.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1997 Academic Press. Received 29 July 1996. The authors thank the anonymous referee for his/her careful reading of the paper. | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1006/jcta.1996.2755 | |||||||||
| Record Number: | CaltechAUTHORS:20170829-161318393 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170829-161318393 | |||||||||
| Official Citation: | Thomas E. Norwood, Qing Xiang, On GMW Designs and a Conjecture of Assmus and Key, Journal of Combinatorial Theory, Series A, Volume 78, Issue 1, April 1997, Pages 162-168, ISSN 0097-3165, https://doi.org/10.1006/jcta.1996.2755. (http://www.sciencedirect.com/science/article/pii/S0097316596927557) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 80937 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 30 Aug 2017 16:14 | |||||||||
| Last Modified: | 15 Nov 2021 19:39 |
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