Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Gary L. Ebert"'
Publikováno v:
Designs, Codes and Cryptography. 55:261-283
In this paper we develop general techniques for enumerating orthogonal Buekenhout unitals embedded in two-dimensional translation planes. We then apply these techniques in the regular nearfield planes, the odd-order Hall planes, and the odd-order fla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4bff321a1284f2ed323d30f1bc0ae5f
https://doi.org/10.1007/s10623-009-9330-y
https://doi.org/10.1007/s10623-009-9330-y
Publikováno v:
Combinatorica. 29:637-663
We construct six new infinite families of finite semifields, all of which are two-dimensional over their left nuclei. We give constructions for both even and odd characteristics when the left nucleus has odd dimension over the center. The characteris
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbf384712502c04e6c53178d11052036
https://doi.org/10.1007/s00493-009-2406-5
https://doi.org/10.1007/s00493-009-2406-5
Publikováno v:
Finite Fields and Their Applications. 14:76-84
We show that the generalized quadrangle W"3(q) for odd q has exponentially many 12(q+1)-ovoids, thus implying that the generalized quadrangle Q(4,q) has exponentially many hemisystems for odd q. For q even, we show that W"3(q) has m-ovoids for all in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1edf8ccd0ea32324edf0478f0b94c299
https://doi.org/10.1016/j.ffa.2006.04.001
https://doi.org/10.1016/j.ffa.2006.04.001
Autor:
Nicola Durante, Gary L. Ebert
Publikováno v:
Innov. Incidence Geom. 6-7, no. 1 (2007), 153-167
Giuzzi (2006) and Donati and Duranti (2008) determined the structure of the intersection of two Hermitian surfaces of [math] under the hypotheses that in the pencil they generate there is at least one degenerate surface. Aguglia, Cossidente and Ebert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58772a265fa56b450a9ec2e73a329980
https://doi.org/10.2140/iig.2008.6.153
https://doi.org/10.2140/iig.2008.6.153
Publikováno v:
European Journal of Combinatorics. 28:1626-1636
Hyperbolic fibrations of PG(3,q) were introduced by Baker, Dover, Ebert and Wantz in [R.D. Baker, J.M. Dover, G.L. Ebert, K.L. Wantz, Hyperbolic fibrations of PG(3,q), European J. Combin. 20 (1999) 1–16]. Since then, many examples were found, all o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83bb33667aeac2d4222d8342a617b73c
https://doi.org/10.1016/j.ejc.2006.07.006
https://doi.org/10.1016/j.ejc.2006.07.006
Autor:
Gary L. Ebert, Keith E. Mellinger
Publikováno v:
Designs, Codes and Cryptography. 44:15-23
We define a mixed partition of ? = PG(d, q r ) to be a partition of the points of ? into subspaces of two distinct types; for instance, a partition of PG(2n ? 1, q 2) into (n ? 1)-spaces and Baer subspaces of dimension 2n ? 1. In this paper, we provi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b92b2546b641e075583d68529d0aaf5b
https://doi.org/10.1007/s10623-007-9044-y
https://doi.org/10.1007/s10623-007-9044-y
Publikováno v:
Discrete Mathematics. 301(1):28-33
We investigate the intersection R of two permutable Hermitian surfaces of PG(3,q2), q odd. We show that R is a determinantal variety. From the combinatorial point of view R comprises a complete (q2+1)-span of the two corresponding Hermitian surfaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ff73a4049ae5f0efc98f063b4606856
Publikováno v:
Designs, Codes and Cryptography. 34:295-305
We show there is a bijection between regular hyperbolic fibrations with constant back half and normalized q-clans. Thus there is also a bijection with flocks of a quadratic cone, once a conic of the flock has been specified. This yields a plethora of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fabdc2e7ddddb36b9ec8497c808a7e80
https://doi.org/10.1007/s10623-004-4861-8
https://doi.org/10.1007/s10623-004-4861-8
Publikováno v:
Zentralblatt für Didaktik der Mathematik. 36:172-183
This paper is concerned with the teaching of Discrete Mathematics to university undergraduate students. Two to three decades ago this course became a requirement for math and computer science students in most universities world wide. Today this cours
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb4fcb0d1363d869dadbecd94b7d4fac
https://doi.org/10.1007/bf02655669
https://doi.org/10.1007/bf02655669
Autor:
Gary L. Ebert
Publikováno v:
Discrete Mathematics. 284:123-129
We construct quasimultiples of affine planes, inversive planes, and unitals from geometrical configurations in various finite geometries. All designs have k=λ. These designs are simple (no repeated blocks), and all appear to be irreducible in the se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6323d69598ac147a09865eae0694cbe8
https://doi.org/10.1016/j.disc.2003.11.028
https://doi.org/10.1016/j.disc.2003.11.028