메뉴 건너뛰기




Volumn 16, Issue 2, 2008, Pages 101-116

Maximal partial ovoids and maximal partial spreads in hermitian generalized quadrangles

Author keywords

Generalized quadrangle; Hermitian variety; Ovoid; Spread

Indexed keywords


EID: 39849103190     PISSN: 10638539     EISSN: 15206610     Source Type: Journal    
DOI: 10.1002/jcd.20146     Document Type: Article
Times cited : (9)

References (26)
  • 3
    • 38249025123 scopus 로고
    • Intersection pattern of the classical ovoids in symplectic 3-space of even order
    • B. Bagchi and N.S. Narasimha Sastry, Intersection pattern of the classical ovoids in symplectic 3-space of even order. J Algebra 126(1) (1989), 147-160.
    • (1989) J Algebra , vol.126 , Issue.1 , pp. 147-160
    • Bagchi, B.1    Narasimha Sastry, N.S.2
  • 4
    • 21144458754 scopus 로고    scopus 로고
    • On ovoids of O(5, q)
    • S. Ball, On ovoids of O(5, q). Adv Geom 4 (2004), 1-7.
    • (2004) Adv Geom , vol.4 , pp. 1-7
    • Ball, S.1
  • 6
    • 0008562451 scopus 로고
    • On the size of a maximal partial spread
    • A. Blokhuis and K. Metsch, On the size of a maximal partial spread. Des Codes Cryptogr 3 (1993), 187-191.
    • (1993) Des Codes Cryptogr , vol.3 , pp. 187-191
    • Blokhuis, A.1    Metsch, K.2
  • 7
    • 84890203687 scopus 로고
    • Private communication
    • A. E. Brouwer, Private communication (1981).
    • (1981)
    • Brouwer, A.E.1
  • 9
    • 78651592727 scopus 로고    scopus 로고
    • On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4, q)
    • to appear
    • M. Cimráková, S. De Winter, V. Fack, and L. Storme, On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4, q). European J Combin, to appear.
    • European J Combin
    • Cimráková, M.1    De Winter, S.2    Fack, V.3    Storme, L.4
  • 11
    • 0042390466 scopus 로고    scopus 로고
    • Intersections of hermitian and ree ovoids in the generalized hexagon H(q)
    • V. De Smet and H.Van Maldeghem, Intersections of Hermitian and Ree ovoids in the generalized hexagon H(q). J Combin Des 4(1) (1996), 71-81.
    • (1996) J Combin des , vol.4 , Issue.1 , pp. 71-81
    • De Smet, V.1    Van Maldeghem, H.2
  • 12
    • 0037861650 scopus 로고    scopus 로고
    • Complete systems of lines on a Hermitian surface over a finite field
    • G.L. Ebert and J.W.P. Hirschfeld, Complete systems of lines on a Hermitian surface over a finite field. Des Codes Cryptogr 17 (1999), 253-268.
    • (1999) Des Codes Cryptogr , vol.17 , pp. 253-268
    • Ebert, G.L.1    Hirschfeld, J.W.P.2
  • 13
    • 0036377169 scopus 로고    scopus 로고
    • On a particular class of minihypers and its applications. III: Applications
    • P. Govaerts, L. Storme, and H. Van Maldeghem, On a particular class of minihypers and its applications. III: Applications. European J Combin 23 (2002), 659-672.
    • (2002) European J Combin , vol.23 , pp. 659-672
    • Govaerts, P.1    Storme, L.2    Van Maldeghem, H.3
  • 16
    • 33745814001 scopus 로고    scopus 로고
    • New results on covers and partial spreads of polar spaces
    • A. Klein and K. Metsch, New results on covers and partial spreads of polar spaces. Innov Incidence Geom 1 (2005), 19-34.
    • (2005) Innov Incidence Geom , vol.1 , pp. 19-34
    • Klein, A.1    Metsch, K.2
  • 17
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • L. Lovász, On the ratio of optimal integral and fractional covers. Discrete Math 13 (1975), 383-390.
    • (1975) Discrete Math , vol.13 , pp. 383-390
    • Lovász, L.1
  • 20
    • 84890196630 scopus 로고    scopus 로고
    • Weighted {δ(q + 1), δ; κ - 1 q}-minihypers
    • Capomulini, Italy September 2004, (to appear)
    • L. Storme, Weighted {δ(q + 1), δ; κ - 1, q}-minihypers. Discr Math, Proceedings of Combinatorics 2004, Capomulini, Italy September 2004, 13-18 (to appear)
    • (2004) Discr Math, Proceedings of Combinatorics , pp. 13-18
    • Storme, L.1
  • 21
    • 0008560980 scopus 로고    scopus 로고
    • Minimal blocking sets in PG(n, q), n ≥ 3
    • L. Storme and Zs. Weiner, Minimal blocking sets in PG(n, q), n ≥ 3. Des Codes Cryptogr 21 (2000), 235-251.
    • (2000) Des Codes Cryptogr , vol.21 , pp. 235-251
    • Storme, L.1    Weiner, Zs.2
  • 22
    • 0001387824 scopus 로고    scopus 로고
    • Blocking sets in Desarguesian affine and projective planes
    • T. Szo′nyi, Blocking sets in Desarguesian affine and projective planes. Finite Fields Appl 3 (1997), 187-202.
    • (1997) Finite Fields Appl , vol.3 , pp. 187-202
    • Szonyi, T.1
  • 23
    • 33745702514 scopus 로고    scopus 로고
    • On the spectrum of minimal blocking sets in PG(2, q)
    • T. Szo′nyi, A. Gács, and Zs. Weiner, On the spectrum of minimal blocking sets in PG(2, q). J Geom 76 (2003), 256-281.
    • (2003) J Geom , vol.76 , pp. 256-281
    • Szonyi, T.1    Gács, A.2    Weiner, Zs.3
  • 24
    • 33745702508 scopus 로고
    • Blocking sets with respect to planes inPG(3, q) and maximal spreads of a nonsingular quadric in PG(4, q)
    • G. Tallini, Blocking sets with respect to planes inPG(3, q) and maximal spreads of a nonsingular quadric in PG(4, q). Mitt Math Sem Giessen 201 (1991), 141-147.
    • (1991) Mitt Math Sem Giessen , vol.201 , pp. 141-147
    • Tallini, G.1
  • 25
    • 77957066907 scopus 로고
    • Old and new results on spreads and ovoids in finite classical polar spaces
    • North-Holland, Amsterdam
    • J.A. Thas, Old and new results on spreads and ovoids in finite classical polar spaces. In Combinatorics'90 Gaeta, 1990, pp. 529-544. North-Holland, Amsterdam, 1992.
    • (1990) Combinatorics'90 Gaeta , pp. 529-544
    • Thas, J.A.1
  • 26
    • 0013258954 scopus 로고    scopus 로고
    • Ovoids, spreads and m-systems of finite classical polar spaces
    • (Sussex), Cambridge Univ Press, Cambridge, 2001
    • J.A. Thas, Ovoids, spreads and m-systems of finite classical polar spaces. In Surveys in combinatorics, 2001 (Sussex), pp. 241-267. Cambridge Univ Press, Cambridge, 2001.
    • (2001) Surveys in Combinatorics , pp. 241-267
    • Thas, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.