Abstract
We present a characterisation of \({\{\epsilon_1 (q+1)+\epsilon_0,\epsilon_1 ;n,q\}}\) -minihypers, q square, q = p h, p > 3 prime, h ≥ 2, q ≥ 1217, for \({\epsilon_0 + \epsilon_1 < \frac{q^{7/12}}{2}-\frac{q^{1/4}}{2}}\). This improves a characterisation result of Ferret and Storme (Des Codes Cryptogr 25(2): 143–162, 2002), involving more Baer subgeometries contained in the minihyper.
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Communicated by R. Hill.
J. De Beule is a postdoctoral research fellow of the Research Foundation Flanders – Belgium (FWO). This research was initiated while the third author was visiting the Justus-Liebig-Universität Gießen, Germany, with a Fellowship of the Alexander von Humboldt Foundation.
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De Beule, J., Hallez, A. & Storme, L. A characterisation result on a particular class of non-weighted minihypers. Des. Codes Cryptogr. 63, 159–170 (2012). https://doi.org/10.1007/s10623-011-9542-9
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DOI: https://doi.org/10.1007/s10623-011-9542-9