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Volumn 4, Issue 1, 1996, Pages 59-65

Hyperovals in the known projective planes of order 16

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EID: 0010783164     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6610(1996)4:1<59::AID-JCD6>3.0.CO;2-Z     Document Type: Article
Times cited : (40)

References (35)
  • 1
    • 0000800515 scopus 로고
    • Sui {k; n}-archi di un piano lineare finito
    • A. Barlotti, Sui {k; n}-archi di un piano lineare finito, Boll. UMI (3) 5, 1956, 553-556.
    • (1956) Boll. UMI (3) , vol.5 , pp. 553-556
    • Barlotti, A.1
  • 2
    • 0003149497 scopus 로고
    • Linear representation of a class of protective planes in a four dimensional projective space
    • A. Barlotti and R. C. Bose, Linear representation of a class of protective planes in a four dimensional projective space. Ann. Mat. Pura Appl. 88, 1971, 9-31.
    • (1971) Ann. Mat. Pura Appl. , vol.88 , pp. 9-31
    • Barlotti, A.1    Bose, R.C.2
  • 3
    • 0001537506 scopus 로고
    • Mathematical theory of the symmetrical factorial design
    • R. C. Bose, Mathematical theory of the symmetrical factorial design. Sankhya, 3, 1947, 323-338.
    • (1947) Sankhya , vol.3 , pp. 323-338
    • Bose, R.C.1
  • 4
    • 0042515257 scopus 로고
    • Hyperovals in the translation planes of order 16
    • W. Cherowitzo, Hyperovals in the translation planes of order 16. J. Combin. Math. Combin. Comput. 9, 1991, 39-55.
    • (1991) J. Combin. Math. Combin. Comput. , vol.9 , pp. 39-55
    • Cherowitzo, W.1
  • 5
    • 0038154564 scopus 로고
    • Ovals and other configurations in the known planes of order nine
    • W. Cherowitzo, D. Kiel, and R. Killgrove, Ovals and other configurations in the known planes of order nine. Congr. Numer. 55, 1986, 167-179.
    • (1986) Congr. Numer. , vol.55 , pp. 167-179
    • Cherowitzo, W.1    Kiel, D.2    Killgrove, R.3
  • 6
    • 0038154568 scopus 로고
    • On arcs in projective planes of order 9
    • R. H. F. Denniston, On arcs in projective planes of order 9. Manuscripta Math. 4 (1971), 61-90.
    • (1971) Manuscripta Math. , vol.4 , pp. 61-90
    • Denniston, R.H.F.1
  • 8
    • 0007459467 scopus 로고
    • The classification of the translation planes of order 16, 1
    • U. Dempwolff and A. Reifart, The classification of the translation planes of order 16, 1, Geom. Dedicata, 15, 1983, 137-153.
    • (1983) Geom. Dedicata , vol.15 , pp. 137-153
    • Dempwolff, U.1    Reifart, A.2
  • 9
    • 38249001300 scopus 로고
    • Translation Laguerre planes of order 16
    • D. G. Glynn and G. Steinke. Translation Laguerre planes of order 16. Europ. J. Combin. 14, 1993, 529-539.
    • (1993) Europ. J. Combin. , vol.14 , pp. 529-539
    • Glynn, D.G.1    Steinke, G.2
  • 10
    • 0000898118 scopus 로고
    • Ovals in the Desarguesian plane of order 16
    • M. Hall, Ovals in the Desarguesian plane of order 16. Ann. Mat. Pura Appl. (4), 102, 1975, 159-176.
    • (1975) Ann. Mat. Pura Appl. (4) , vol.102 , pp. 159-176
    • Hall, M.1
  • 13
    • 0039826896 scopus 로고
    • A note on semi-translation planes of class 1.5a
    • N. Johnson, A note on semi-translation planes of class 1.5a. Arch. Math., 21, 1970, 528-532.
    • (1970) Arch. Math. , vol.21 , pp. 528-532
    • Johnson, N.1
  • 15
    • 0012850545 scopus 로고
    • A computer search for finite projective planes of order 9
    • C. W. H. Lam, G. Kolesova, and L. Thiel. A computer search for finite projective planes of order 9. Discrete Math. 92, 1991, 187-195.
    • (1991) Discrete Math. , vol.92 , pp. 187-195
    • Lam, C.W.H.1    Kolesova, G.2    Thiel, L.3
  • 18
    • 0004010079 scopus 로고
    • Technical report, Department of Computer Science, Australian National University
    • B. D. McKay, nauty user's guide (version 1.5), Technical report, Department of Computer Science, Australian National University, 1990.
    • (1990) Nauty User's Guide (Version 1.5)
    • McKay, B.D.1
  • 23
  • 24
    • 0001098890 scopus 로고
    • Classification of hyperovals in PG(2, 32)
    • T. Penttila and G. F. Royle, Classification of hyperovals in PG(2, 32). J. Geom., 50, 1994, 151-158.
    • (1994) J. Geom. , vol.50 , pp. 151-158
    • Penttila, T.1    Royle, G.F.2
  • 25
    • 5244374727 scopus 로고
    • Some combinatorial properties of the dual Lorimer plane
    • L. Puccio and M. J. de Resmini, Some combinatorial properties of the dual Lorimer plane. Ars Combin. 24a, 1987, 131-148.
    • (1987) Ars Combin. , vol.24 A , pp. 131-148
    • Puccio, L.1    De Resmini, M.J.2
  • 26
    • 0003204609 scopus 로고
    • Some remarks concerning curves of the second degree in a finite plane
    • B. Qvist, Some remarks concerning curves of the second degree in a finite plane. Ann. Acad. Sci. Fenn. Ser. A, 134, 1952.
    • (1952) Ann. Acad. Sci. Fenn. Ser. A , vol.134
    • Qvist, B.1
  • 27
    • 0042480369 scopus 로고
    • On the semifield plane of order 16 with kern GF(2)
    • M. J. de Resmini, On the semifield plane of order 16 with kern GF(2). Ars Combin. 25b, 1988, 75-92.
    • (1988) Ars Combin. , vol.25 B , pp. 75-92
    • De Resmini, M.J.1
  • 28
    • 0040419516 scopus 로고
    • Some remarks on the Hall plane of order 16
    • _, Some remarks on the Hall plane of order 16. Congr. Numer. 70, 1990, 17-27.
    • (1990) Congr. Numer. , vol.70 , pp. 17-27
  • 29
    • 5244265098 scopus 로고
    • On the derived semifield plane of order 16
    • _, On the derived semifield plane of order 16. Ars. Combin. 29b, 1990, 97-109.
    • (1990) Ars. Combin. , vol.29 B , pp. 97-109
  • 30
    • 27844473170 scopus 로고
    • On the Dempwolff plane
    • _, On the Dempwolff plane. AMS Contemporary Math, 111, 1990, 47-64.
    • (1990) AMS Contemporary Math , vol.111 , pp. 47-64
  • 31
    • 0039826902 scopus 로고
    • On the Johnson-Walker plane
    • _, On the Johnson-Walker plane. Simon Stevin, 64, 1990, 113-139.
    • (1990) Simon Stevin , vol.64 , pp. 113-139
  • 32
  • 33
    • 85033843759 scopus 로고
    • On the classical semi-translation plane of order 16
    • To appear
    • _, On the classical semi-translation plane of order 16. Ars Combin. To appear 1995.
    • (1995) Ars Combin.
  • 35
    • 0000237639 scopus 로고
    • Ovals in a finite projective plane
    • B. Segre, Ovals in a finite projective plane. Canad. J. Math. 7, 1955, 414-416.
    • (1955) Canad. J. Math. , vol.7 , pp. 414-416
    • Segre, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.