Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.disc.2008.08.004
Title: On the dimensions of the binary codes of a class of unitals
Authors: Leung, K.H. 
Xiang, Q.
Keywords: Buekenhout-Metz unital
Code
Design
Hermitian unital
Ideal
Unital
Issue Date: 28-Feb-2009
Citation: Leung, K.H., Xiang, Q. (2009-02-28). On the dimensions of the binary codes of a class of unitals. Discrete Mathematics 309 (3) : 570-575. ScholarBank@NUS Repository. https://doi.org/10.1016/j.disc.2008.08.004
Abstract: Let Uβ be the special Buekenhout-Metz unital in PG (2, q2), formed by a union of q conics, where q = pe is an odd prime power. It can be shown that the dimension of the binary code of the corresponding unital design Uβ is less than or equal to q3 + 1 - q. Baker and Wantz conjectured that equality holds. We prove that the aforementioned dimension is greater than or equal to q3 (1 - frac(1, p)) + frac(q2, p). © 2008 Elsevier B.V. All rights reserved.
Source Title: Discrete Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103788
ISSN: 0012365X
DOI: 10.1016/j.disc.2008.08.004
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