Contributions by Aart Blokhuis to finite geometry, discrete mathematics, and combinatorics. (English) Zbl 1493.00048
From the text: The present Special Issue of Designs, Codes and Cryptography is dedicated to Aart Blokhuis, one of the leading mathematicians in finite geometry and combinatorics.
MSC:
| 00B30 | Festschriften |
| 94-06 | Proceedings, conferences, collections, etc. pertaining to information and communication theory |
| 00B15 | Collections of articles of miscellaneous specific interest |
| 01A70 | Biographies, obituaries, personalia, bibliographies |
Biographic References:
Blokhuis, AartReferences:
| [1] | Ball, S.; Blokhuis, A.; Mazzocca, F., Maximal arcs in Desarguesian planes of odd order do not exist, Combinatorica, 17, 1, 31-41 (1997) · Zbl 0880.51003 · doi:10.1007/BF01196129 |
| [2] | Ball, S.; Blokhuis, A.; Lavrauw, M., Linear \((q+1)\)-fold blocking sets in \({\rm PG}(2, q^4)\), Finite Fields Appl., 6, 4, 294-301 (2000) · Zbl 0968.51006 · doi:10.1006/ffta.2000.0280 |
| [3] | Blokhuis, A., On subsets of \({\rm GF}(q^2)\) with square differences, Indag. Math., 46, 4, 369-372 (1984) · Zbl 0561.12009 · doi:10.1016/1385-7258(84)90036-2 |
| [4] | Blokhuis, A., On the size of a blocking set in \({\rm PG}(2, p)\), Combinatorica, 14, 1, 111-114 (1994) · Zbl 0803.05011 · doi:10.1007/BF01305953 |
| [5] | Blokhuis, A.; Lavrauw, M., Scattered spaces with respect to a spread in \({\rm PG}(n, q)\), Geom. Dedicata, 81, 1-3, 231-243 (2000) · Zbl 0990.51004 · doi:10.1023/A:1005283806897 |
| [6] | Blokhuis, A.; Mazzocca, F., The finite field Kakeya problem, Building bridges. Bolyai Society of Mathematical Studies, 205-218 (2008), Berlin: Springer, Berlin · Zbl 1221.51009 |
| [7] | Blokhuis, A.; Moorhouse, E., Some \(p\)-ranks related to orthogonal spaces, J. Algebr. Comb., 4, 4, 295-316 (1995) · Zbl 0843.51011 · doi:10.1023/A:1022477715988 |
| [8] | Blokhuis, A.; Bruen, AA; Thas, JA, Arcs in \({\rm PG}(n, q)\), MDS-codes and three fundamental problems of B. Segre - Some extensions, Geom. Dedicata, 35, 1-3, 1-11 (1990) · Zbl 0709.51013 |
| [9] | Blokhuis, A.; Seress, Á.; Wilbrink, HA, Characterization of complete exterior sets of conics, Combinatorica, 12, 143-147 (1992) · Zbl 0761.51006 · doi:10.1007/BF01204717 |
| [10] | Blokhuis, A.; Ball, S.; Brouwer, A.; Storme, L.; Szőnyi, T., On the number of slopes of the graph of a function defined on a finite field, J. Comb. Theory Ser. A, 86, 1, 187-196 (1999) · Zbl 0945.51002 · doi:10.1006/jcta.1998.2915 |
| [11] | Blokhuis, A.; Storme, L.; Szőnyi, T., Lacunary polynomials, multiple blocking sets and Baer subplanes, J. Lond. Math. Soc, 60, 2, 321-332 (1999) · Zbl 0940.51007 · doi:10.1112/S0024610799007875 |
| [12] | Blokhuis, A.; Lavrauw, M.; Ball, S., On the classification of semifield flocks, Adv. Math., 180, 1, 104-111 (2003) · Zbl 1042.51007 · doi:10.1016/S0001-8708(02)00084-1 |
| [13] | Blokhuis, A.; Brouwer, AE; Szőnyi, T.; Weiner, Zs, \(q\)-Analogues and stability theorems, J. Geom., 101, 31-50 (2011) · Zbl 1238.05264 · doi:10.1007/s00022-011-0080-4 |
| [14] | Blokhuis, A.; Korchmáros, G.; Mazzocca, F., On the structure of 3-nets embedded in a projective plane, J. Comb. Theory Ser. A, 118, 4, 1228-1238 (2011) · Zbl 1246.51004 · doi:10.1016/j.jcta.2010.11.007 |
| [15] | Bruen, AA; Thas, JA; Blokhuis, A., On M.D.S. codes, arcs in \({\rm PG(n, q)}\) with \(q\) even, and a solution of three fundamental problems of B. Segre, Invent. Math., 92, 3, 441-459 (1988) · Zbl 0654.94014 · doi:10.1007/BF01393742 |
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