Published April 1997
| public
Journal Article
On GMW Designs and a Conjecture of Assmus and Key
- Creators
- Norwood, Thomas E.
- Xiang, Qing
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.
Additional Information
© 1997 Academic Press. Received 29 July 1996. The authors thank the anonymous referee for his/her careful reading of the paper.Additional details
- Eprint ID
- 80937
- DOI
- 10.1006/jcta.1996.2755
- Resolver ID
- CaltechAUTHORS:20170829-161318393
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2017-08-30Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field