Abstract
In De Beule and Storme, Des Codes Cryptogr 39(3):323–333, De Beule and Storme characterized the smallest blocking sets of the hyperbolic quadrics Q +(2n + 1, 3), n ≥ 4; they proved that these blocking sets are truncated cones over the unique ovoid of Q +(7, 3). We continue this research by classifying all the minimal blocking sets of the hyperbolic quadrics Q +(2n + 1, 3), n ≥ 3, of size at most 3n + 3n–2. This means that the three smallest minimal blocking sets of Q +(2n + 1, 3), n ≥ 3, are now classified. We present similar results for q = 2 by classifying the minimal blocking sets of Q +(2n + 1, 2), n ≥ 3, of size at most 2n + 2n-2. This means that the two smallest minimal blocking sets of Q +(2n + 1, 2), n ≥ 3, are classified.
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De Beule, J., Metsch, K. & Storme, L. Characterization results on small blocking sets of the polar spaces Q +(2n + 1, 2) and Q +(2n + 1, 3). Des. Codes Cryptogr. 44, 197–207 (2007). https://doi.org/10.1007/s10623-007-9087-0
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DOI: https://doi.org/10.1007/s10623-007-9087-0