{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:43:54Z","timestamp":1750308234383,"version":"3.41.0"},"reference-count":20,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2004,9,1]],"date-time":"2004-09-01T00:00:00Z","timestamp":1093996800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[2004,9]]},"abstract":"<jats:p>Let Q(2n + 2;<jats:italic>q<\/jats:italic>) denote the non-singular parabolic quadric in the projective geometry PG(2<jats:italic>n<\/jats:italic>+ 2;<jats:italic>q<\/jats:italic>). We describe the implementation in GAP of an algorithm to study the problem of the minimal number of points of a minimal blocking set, different from an ovoid, of Q(4;<jats:italic>q<\/jats:italic>), for<jats:italic>q<\/jats:italic>= 5; 7.<\/jats:p>","DOI":"10.1145\/1040034.1040037","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"67-84","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["On the size of minimal blocking sets of Q(4;<i>q<\/i>), for<i>q<\/i>= 5,7"],"prefix":"10.1145","volume":"38","author":[{"given":"J.","family":"De Beule","sequence":"first","affiliation":[{"name":"Ghent University, Krijgslaan, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Hoogewijs","sequence":"additional","affiliation":[{"name":"Ghent University, Krijgslaan, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Storme","sequence":"additional","affiliation":[{"name":"Ghent University, Krijgslaan, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2004,9]]},"reference":[{"key":"e_1_2_1_1_1","volume-title":"Projective Geometry","author":"Beutelspacher A.","year":"1998","unstructured":"A. Beutelspacher and U. Rosenbaum . Projective Geometry . Cambridge University Press , 1998 . A. Beutelspacher and U. Rosenbaum. Projective Geometry. Cambridge University Press, 1998."},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01305953"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610799007875"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1970-12470-3"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00183207"},{"key":"e_1_2_1_6_1","unstructured":"J. De Beule P. Govaerts and L. Storme. Projective Geometries a share package for GAP. http:\/\/cage.ugent.be\/~jdebeule\/pg J. De Beule P. Govaerts and L. Storme. Projective Geometries a share package for GAP. http:\/\/cage.ugent.be\/~jdebeule\/pg"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/jcd.10048"},{"key":"e_1_2_1_8_1","volume-title":"Proceedings of the First Irsee Conference on Finite Geometry (Irsee","author":"De Beule J.","year":"2003","unstructured":"J. De Beule and L. Storme . On the smallest minimal blocking sets of Q(2n; q), for q an odd prime. Discrete Math ., Proceedings of the First Irsee Conference on Finite Geometry (Irsee , 2003 ), to appear. J. De Beule and L. Storme. On the smallest minimal blocking sets of Q(2n; q), for q an odd prime. Discrete Math., Proceedings of the First Irsee Conference on Finite Geometry (Irsee, 2003), to appear."},{"key":"e_1_2_1_9_1","unstructured":"J. Dittmann A. Behr M. Stabenau P. Schmitt J. Schwenk and J. Ueberberg. Combining digital Watermarks and collusion secure Fingerprints for digital Images. http:\/\/www.ipsi.fraunhofer.de\/~dittmann\/pdf\/spie-dittmann.pdf J. Dittmann A. Behr M. Stabenau P. Schmitt J. Schwenk and J. Ueberberg. Combining digital Watermarks and collusion secure Fingerprints for digital Images. http:\/\/www.ipsi.fraunhofer.de\/~dittmann\/pdf\/spie-dittmann.pdf"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(00)00418-0"},{"key":"e_1_2_1_11_1","volume-title":"Version 4.3","author":"The GAP Group","year":"2002","unstructured":"The GAP Group , GAP -- Groups , Algorithms, and Programming , Version 4.3 ; 2002 . http:\/\/www.gap-system.org The GAP Group, GAP -- Groups, Algorithms, and Programming, Version 4.3; 2002. http:\/\/www.gap-system.org"},{"key":"e_1_2_1_12_1","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502951.001.0001","volume-title":"Projective Geometries Over Finite Fields","author":"Hirschfeld J. W. P.","year":"1998","unstructured":"J. W. P. Hirschfeld . Projective Geometries Over Finite Fields . The Clarendon Press, Oxford University Press , New York , second edition, 1998 . J. W. P. Hirschfeld. Projective Geometries Over Finite Fields. The Clarendon Press, Oxford University Press, New York, second edition, 1998."},{"key":"e_1_2_1_13_1","volume-title":"General Galois Geometries. Oxford Mathematical Monographs","author":"Hirschfeld J. W. P.","year":"1991","unstructured":"J. W. P. Hirschfeld and J. A. Thas . General Galois Geometries. Oxford Mathematical Monographs . The Clarendon Press, Oxford University Press , New York , 1991 . Oxford Science Publications. J. W. P. Hirschfeld and J. A. Thas. General Galois Geometries. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 1991. Oxford Science Publications."},{"key":"e_1_2_1_14_1","volume-title":"North-Holland","author":"MacWilliams F. J.","year":"1977","unstructured":"F. J. MacWilliams and N. J. A. Sloane . The Theory of Error Correcting Codes . North-Holland , 1977 . F. J. MacWilliams and N. J. A. Sloane. The Theory of Error Correcting Codes. North-Holland, 1977."},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1023\/B:DESI.0000015888.27935.e2"},{"key":"e_1_2_1_16_1","unstructured":"MOSIX. http:\/\/www.mosix.org MOSIX. http:\/\/www.mosix.org"},{"key":"e_1_2_1_17_1","volume-title":"Oxford Science Publications","author":"Pasini A.","year":"1994","unstructured":"A. Pasini . Diagram Geometries . Oxford Science Publications . The Clarendon Press, Oxford University Press , New York , 1994 . A. Pasini. Diagram Geometries. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1994."},{"key":"e_1_2_1_18_1","volume-title":"Finite Generalized Quadrangles","author":"Payne S. E.","year":"1984","unstructured":"S. E. Payne and J. A. Thas . Finite Generalized Quadrangles . Pitman (Advanced Publishing Program) , Boston, MA , 1984 . S. E. Payne and J. A. Thas. Finite Generalized Quadrangles. Pitman (Advanced Publishing Program), Boston, MA, 1984."},{"key":"e_1_2_1_19_1","volume-title":"Ovoids and spreads of finite classical polar spaces. Geom. Dedicata, 10(1--4):135--143","author":"Thas J. A.","year":"1981","unstructured":"J. A. Thas . Ovoids and spreads of finite classical polar spaces. Geom. Dedicata, 10(1--4):135--143 , 1981 . J. A. Thas. Ovoids and spreads of finite classical polar spaces. Geom. Dedicata, 10(1--4):135--143, 1981."},{"key":"e_1_2_1_20_1","unstructured":"N. Thomas. Projective geometry. http:\/\/www.anth.org.uk\/NCT\/ N. Thomas. 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