{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T00:06:36Z","timestamp":1719014796120},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,1,10]],"date-time":"2017-01-10T00:00:00Z","timestamp":1484006400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Combinatorica"],"published-print":{"date-parts":[[2018,2]]},"DOI":"10.1007\/s00493-016-3442-6","type":"journal-article","created":{"date-parts":[[2017,1,10]],"date-time":"2017-01-10T03:34:42Z","timestamp":1484019282000},"page":"143-166","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On Bisecants of R\u00e9dei Type Blocking Sets and Applications"],"prefix":"10.1007","volume":"38","author":[{"given":"Bence","family":"Csajb\u00f3k","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,1,10]]},"reference":[{"key":"3442_CR1","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1002\/jcd.21390","volume":"22","author":"P. Balister","year":"2014","unstructured":"P. Balister, B. Bollob\u00e1s, Z. F\u00fcredi and J. Thompson: Minimal Symmetric Differences of Lines in Projective Planes, J. Combin. Des. 22 (2014), 435\u2013451.","journal-title":"J. Combin. Des."},{"key":"3442_CR2","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/j.jcta.2003.09.006","volume":"104","author":"S. Ball","year":"2003","unstructured":"S. Ball: The number of directions determined by a function over a finite field, J. Combin. Theory Ser. A 104 (2003), 341\u2013350.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR3","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1006\/jcta.1998.2915","volume":"86","author":"S. Ball","year":"1999","unstructured":"S. Ball, A. Blokhuis, A.E. Brouwer, L. Storme and T. Szonyi: On the number of slopes of the graph of a function definied over a finite field, J. Combin. Theory Ser. A 86 (1999), 187\u2013196.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR4","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1002\/jcd.21383","volume":"22","author":"D. Bartoli","year":"2014","unstructured":"D. Bartoli: On the Structure of Semiovals of Small Size, J. Combin. Des. 22 (2014), 525\u2013536.","journal-title":"J. Combin. Des."},{"key":"3442_CR5","first-page":"117","volume":"14","author":"A. Bichara","year":"1980","unstructured":"A. Bichara and G. Korchm\u00e1ros: Note on (q+2)-sets in a Galois plane of order q, Ann. Discrete Math. 14 (1980), 117\u2013121.","journal-title":"Ann. Discrete Math."},{"key":"3442_CR6","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1007\/BF01225867","volume":"40","author":"A. Blokhuis","year":"1991","unstructured":"A. Blokhuis: Characterization of seminuclear sets in a finite projective plane, J. Geom. 40 (1991), 1519.","journal-title":"J. Geom."},{"key":"3442_CR7","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1112\/blms\/18.2.132","volume":"18","author":"A. Blokhuis","year":"1986","unstructured":"A. Blokhuis and A.E. Brouwer: Blocking sets in Desarguesian projective planes, Bull. London Math. Soc. 18 (1986), 132\u2013134.","journal-title":"Bull. London Math. Soc."},{"key":"3442_CR8","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/s10801-009-0204-1","volume":"32","author":"A. Blokhuis","year":"2010","unstructured":"A. Blokhuis, A.E. Brouwer and T. Szonyi: Covering all points except one, J. Algebraic Combin. 32 (2010), 59\u201366.","journal-title":"J. Algebraic Combin."},{"key":"3442_CR9","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1016\/0097-3165(89)90023-X","volume":"50","author":"A. Blokhuis","year":"1989","unstructured":"A. Blokhuis and A.A. Bruen: The minimal number of lines intersected by a set of q+2 points, blocking sets and intersecting circles, J. Combin. Theory Ser. A 50 (1989), 308\u2013315.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR10","volume-title":"The finite field Kakeya problem","author":"A. Blokhuis","year":"2008","unstructured":"A. Blokhuis and F. Mazzocca: The finite field Kakeya problem, Building Bridges 205\u2013218, Bolyai Soc. Math. Stud. 19, Springer, Berlin, 2008."},{"key":"3442_CR11","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/0097-3165(78)90013-4","volume":"24","author":"A.E. Brouwer","year":"1978","unstructured":"A.E. Brouwer and A. Schrijver: The blocking number of an affine space, J. Combin. Theory Ser. A 24 (1978), 251\u2013253.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2140\/iig.2015.14.1","volume":"14","author":"B. Csajb\u00f3k","year":"2015","unstructured":"B. Csajb\u00f3k, T. H\u00e9ger and Gy. Kiss: Semiarcs with a long secant in PG(2;q), Innov. Incidence Geom. 14 (2015), 1\u201326.","journal-title":"Innov. Incidence Geom."},{"key":"3442_CR13","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s10801-015-0661-7","volume":"44","author":"M. Boeck De","year":"2016","unstructured":"M. De Boeck and G. Van de Voorde: A linear set view on KM-arcs, J. Algebraic Combin. 44 (2016), 131\u2013164.","journal-title":"J. Algebraic Combin."},{"key":"3442_CR14","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1307\/mmj\/1029004595","volume":"39","author":"R.J. Evans","year":"1992","unstructured":"R.J. Evans, J. Greene and H. Niederreiter: Linearized polynomials and permutation polynomials of finite fields, Michigan Math. J. 39 (1992), 405\u2013413.","journal-title":"Michigan Math. J."},{"key":"3442_CR15","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s10801-006-6029-2","volume":"23","author":"A. G\u00e1cs","year":"2006","unstructured":"A. G\u00e1cs: On regular semiovals in PG(2,q), J. Algebraic Combin. 23 (2006), 71\u201377.","journal-title":"J. Algebraic Combin."},{"key":"3442_CR16","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1023\/A:1024152424893","volume":"29","author":"A. G\u00e1cs","year":"2003","unstructured":"A. G\u00e1cs and Zs. Weiner: On (q+t,t)-arcs of type (0;2; t), Des. Codes Cryptogr. 29 (2003), 131\u2013139.","journal-title":"Des. Codes Cryptogr."},{"key":"3442_CR17","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502951.001.0001","volume-title":"Projective Geometries over Finite Fields","author":"J.W.P. Hirschfeld","year":"1998","unstructured":"J.W.P. Hirschfeld: Projective Geometries over Finite Fields, 2nd ed., Clarendon Press, Oxford, 1998."},{"key":"3442_CR18","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/0097-3165(77)90001-2","volume":"22","author":"R. Jamison","year":"1977","unstructured":"R. Jamison: Covering finite fields with cosets of subspaces, J. Combin. Theory Ser. A 22 (1977), 253\u2013266.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR19","first-page":"81","volume":"3","author":"G.y. Kiss","year":"2008","unstructured":"Gy. Kiss: A survey on semiovals, Contrib. Discrete Math. 3 (2008), 81\u201395.","journal-title":"Contrib. Discrete Math."},{"key":"3442_CR20","doi-asserted-by":"crossref","first-page":"3188","DOI":"10.1016\/j.disc.2009.07.024","volume":"310","author":"G.y. Kiss","year":"2010","unstructured":"Gy. Kiss, S. Marcugini and F. Pambianco: On the spectrum of the sizes of semiovals in PG(2,q),q odd, Discrete Math. 310 (2010), 3188\u20133193.","journal-title":"Discrete Math."},{"key":"3442_CR21","first-page":"143","volume":"47","author":"G.y. Kiss","year":"2004","unstructured":"Gy. Kiss and J. Ruff: Notes on Small Semiovals, Annales Univ. Sci. Budapest 47 (2004), 143\u2013151.","journal-title":"Annales Univ. Sci. Budapest"},{"key":"3442_CR22","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1017\/S0305004100069346","volume":"108","author":"G. Korchm\u00e1ros","year":"1990","unstructured":"G. Korchm\u00e1ros and F. Mazzocca: On (q+t)-arcs of type (0,2,t) in a desarguesian plane of order q, Math. Proc. Cambridge Philos. Soc. 108 (1990), 445\u2013459.","journal-title":"Math. Proc. Cambridge Philos. Soc."},{"key":"3442_CR23","volume-title":"Computer-assisted Studies in Algebraic Combinatorics","author":"P. Lisonek","year":"1994","unstructured":"P. Lisonek: Computer-assisted Studies in Algebraic Combinatorics, Ph.D. Thesis, RISC, J. Kepler University Linz, 1994."},{"key":"3442_CR24","doi-asserted-by":"crossref","first-page":"1167","DOI":"10.1016\/j.jcta.2008.01.006","volume":"115","author":"P. Sziklai","year":"2008","unstructured":"P. Sziklai: On small blocking sets and their linearity, J. Combin. Theory Ser. A 115 (2008), 1167\u20131182.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR25","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1006\/ffta.1996.0176","volume":"3","author":"T. Szonyi","year":"1997","unstructured":"T. Szonyi: Blocking Sets in Desarguesian Affine and Projective Planes, Finite Fields Appl. 3 (1997), 187\u2013202.","journal-title":"Finite Fields Appl."},{"key":"3442_CR26","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1006\/jcta.1996.0042","volume":"74","author":"T. Szonyi","year":"1996","unstructured":"T. Szonyi: On the Number of Directions Determined by a Set of Points in an Affine Galois Plane, J. Combin. Theory Ser. A 74 (1996), 141\u2013146.","journal-title":"J. Combin. Theory Ser. A"},{"key":"3442_CR27","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/j.aim.2014.09.007","volume":"267","author":"T. Szonyi","year":"2014","unstructured":"T. Szonyi and Zs. Weiner: On the stability of the sets of even type, Adv. Math. 267 (2014), 381\u2013394.","journal-title":"Adv. Math."},{"key":"3442_CR28","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/s10623-014-9920-1","volume":"75","author":"P. Vandendriessche","year":"2015","unstructured":"P. Vandendriessche: On small line sets with few odd-points, Des. Codes Cryptogr. 75 (2015), 453\u2013463.","journal-title":"Des. Codes Cryptogr."}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00493-016-3442-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00493-016-3442-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00493-016-3442-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T18:03:37Z","timestamp":1718993017000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00493-016-3442-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,10]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,2]]}},"alternative-id":["3442"],"URL":"https:\/\/doi.org\/10.1007\/s00493-016-3442-6","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,10]]}}}