Drake, David A.

59 papers

2337243
Drake, David A.(1-FL)
Desarguesian nets without ovals. (English summary)
J. Combin. Theory Ser. A 114 (2007), no. 6, 1148--1156.
51Exx
2337243
Drake, David A.(1-FL)
Desarguesian nets without ovals. (English summary)
J. Combin. Theory Ser. A 114 (2007), no. 6, 1148--1156.
51Exx
2139788
Colbourn, Charles J.(1-AZS-CEN); Drake, David A.(1-FL); Myrvold, Wendy(3-VCTR-C)
Ovals and hyperovals in nets. (English. English summary)
Discrete Math. 294 (2005), no. 1-2, 53--74.
05Bxx
2075813
Drake, David A.(1-FL); Myrvold, Wendy(3-VCTR-C)
The non-existence of maximal sets of four mutually orthogonal Latin squares of order 8. (English. English summary)
Des. Codes Cryptogr. 33 (2004), no. 1, 63--69.
05B15
2072324
Drake, David A.(1-FL); Myrvold, Wendy(3-VCTR-C)
Nets of small degree without ovals. (English. English summary)
Des. Codes Cryptogr. 32 (2004), no. 1-3, 167--183.
05B25 (51A30 51E21)
2047879
Drake, David A.(1-FL); Keating, Kevin(1-FL)
Ovals and hyperovals in Desarguesian nets. (English. English summary)
Des. Codes Cryptogr. 31 (2004), no. 3, 195--212.
51E21 (51A30)
1985131
Drake, David A.(1-FL)
A characterization of the Desarguesian affine planes which hold 7-nets with ovals. (English. English summary)
Proceedings of the Thirty-third Southeastern International Conference on Combinatorics, Graph Theory and Computing (Boca Raton, FL, 2002).
Congr. Numer. 157 (2002), 141--148.
51A30 (51Exx)
1918804
Drake, David A.(1-FL)
Hyperovals in nets of small degree. (English. English summary)
J. Combin. Des. 10 (2002), no. 5, 322--334.
05B25
1654976
Drake, David A.(1-FL); van Rees, G. H. J.(3-MB-C); Wallis, W. D.(1-SIL)
Maximal sets of mutually orthogonal Latin squares. (English. English summary)
Discrete Math. 194 (1999), no. 1-3, 87--94.
05B15
1268346
Drake, David A.(1-FL); Kitto, Cyrus(1-FL)
Small blocking sets of Hermitian designs. (English. English summary)
J. Combin. Theory Ser. A 65 (1994), no. 2, 322--329.
51E21 (05B05)
1181088
Drake, David A.(1-FL); Larson, Jean A.(1-FL)
The nonexistence of certain projective planes of order $15$. (English. English summary)
Experiment. Math. 1 (1992), no. 1, 65--69.
51E15 (05B25 51E21)
1079740
Drake, David A.(1-FL)
A bound for blocking sets in finite projective planes.
Finite geometries and combinatorial designs (Lincoln, NE, 1987), 93--97,
Contemp. Math., 111,
Amer. Math. Soc., Providence, RI, 1990.
51E21 (05B25)
1047875
Drake, David A.(1-FL); Erdös, Paul(H-AOS)
Bounds on the number of pairs of unjoined points in a partial plane.
Coding theory and design theory, Part I, 102--112,
IMA Vol. Math. Appl., 20,
Springer, New York, 1990.
51E14 (05B25)
949612
Drake, David A.(1-FL); Ho, Chat Y.(1-FL)
Projective extensions of Kirkman systems as substructures of projective planes.
J. Combin. Theory Ser. A 48 (1988), no. 2, 197--208.
51E15 (05B25)
831818
Drake, David A.(1-FL)
Embedding maximal cliques of sets in maximal cliques of bigger sets.
Discrete Math. 58 (1986), no. 3, 229--242.
05C65
849804
Drake, David A.(1-FL); Jungnickel, Dieter(D-GSSN)
Finite Hjelmslev planes and Klingenberg epimorphisms.
Rings and geometry (Istanbul, 1984), 153--231,
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 160,
Reidel, Dordrecht, 1985.
51C05 (05B25 51E30)
840897
Drake, David A.(1-FL)
Embedding pseudocomplements of disjoint pairs of Baer subplanes.
Proceedings of the conference on groups and geometry, Part A (Madison, Wis., 1985).
Algebras Groups Geom. 2 (1985), no. 3, 278--294.
51A45 (05B25 51A35 51E30)
830697
Dow, Stephen J.(1-ALH); Drake, David A.(1-FL); Füredi, Zoltán(H-AOS); Larson, Jean A.(1-FL)
A lower bound for the cardinality of a maximal family of mutually intersecting sets of equal size.
Proceedings of the sixteenth Southeastern international conference on combinatorics, graph theory and computing (Boca Raton, Fla., 1985).
Congr. Numer. 48 (1985), 47--48.
05A05 (05C35)
826800
Drake, David A.(1-FL)
Maximal $(k+1)$-cliques, that carry maximal $k$-cliques.
Finite geometries (Winnipeg, Man., 1984), 107--116,
Lecture Notes in Pure and Appl. Math., 103,
Dekker, New York, 1985.
05B25 (51E05)
814433
Drake, David A.(1-FL)
Blocking sets in block designs.
J. Combin. Theory Ser. A 40 (1985), no. 2, 459--462.
05B05
792579
Drake, David A.(1-FL)
A covering theorem for Baer subplanes in a cyclic projective plane.
Geom. Dedicata 18 (1985), no. 2, 181--190.
51E15 (05B25)
760409
Drake, David A.(1-FL); Larson, Jean A.(1-FL)
A quest for certain linear spaces on thirty points.
J. Statist. Plann. Inference 10 (1984), no. 2, 241--255.
05B05 (05B30)
731336
Drake, David A.(1-FL)
Squeezing the accordion in a strongly $n$-uniform Hjelmslev plane.
Math. Z. 185 (1984), no. 2, 151--166.
51C05 (05B25)
690801
Drake, David A.
The use of auxiliary sets of matrices in the construction of Hjelmslev and Klingenberg structures.
Finite geometries (Pullman, Wash., 1981), pp. 129--153,
Lecture Notes in Pure and Appl. Math., 82,
Dekker, New York, 1983.
51C05 (05B20 05B25)
700035
Drake, David A.(1-FL); Larson, Jean A.(1-FL)
Pairwise balanced designs whose line sizes do not divide six.
J. Combin. Theory Ser. A 34 (1983), no. 3, 266--300.
05B05
667307
Drake, David A.; Sane, Sharad S.
Maximal intersecting families of finite sets and $n$-uniform Hjelmslev planes.
Proc. Amer. Math. Soc. 86 (1982), no. 2, 358--362.
51C05 (05B25)
664702
Drake, David A.; Sane, Sharad S.
Auxiliary sets of matrices with new step parameter sequences.
Linear Algebra Appl. 46 (1982), 131--153.
51C05 (05B20 15A99)
596867
Drake, David A.; Lenz, Hanfried
Orthogonal Latin squares with orthogonal subsquares.
Arch. Math. (Basel) 34 (1980), no. 6, 565--576.
05B15
593742
Drake, David A.; Jungnickel, Dieter
Das Existenzproblem für projektive $(8,\,5)$-Hjelmslevebenen. (German)
Abh. Math. Sem. Univ. Hamburg 50 (1980), 118--126.
51C05 (05B10)
593520
Cameron, Peter J.; Drake, David A.
Partial $\lambda $-geometries of small nexus.
Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978).
Ann. Discrete Math. 6 (1980), 19--29.
05B05
536367
Drake, David A.
Partial $\lambda $-geometries and generalized Hadamard matrices over groups.
Canad. J. Math. 31 (1979), no. 3, 617--627.
05B20 (05B15 05B25)
560442
Drake, David A.; Freeman, J. W.
Partial $t$-spreads and group constructible $(s,\,r,\,µ)$-nets.
J. Geom. 13 (1979), no. 2, 210--216.
05B25 (51E05)
510931
479263
491250
Drake, David A.
Constructions of Hjelmslev planes.
J. Geometry 10 (1977), no. 1-2, 179--193.
05B25 (50D35)
485434
Drake, David A.
Maximal sets of Latin squares and partial transversals.
J. Statist. Plann. Inference 1 (1977), no. 2, 143--149.
05B15
457257
Drake, David A.; Hale, Mark P., Jr.
Group constructible $(t,k)$-nets and Hjelmslev planes.
J. Algebra 48 (1977), no. 2, 321--331.
05B25 (50D35)
477995
Drake, David A.; Shult, Ernest E.
Construction of Hjelmslev planes from $(t,k)$-nets.
Geometriae Dedicata 5 (1976), no. 3, 377--392.
50D35
425767
Hjelmslev'sche Inzidenzgeometrie und verwandte Gebiete--Literaturverzeichnis.
Zusammengestellt von B. Artmann, G. Dorn, D. Drake und G. Törner.
J. Geometry 7 (1976), no. 2, 175--191.
50D35
417917
Drake, David A.; Törner, Günter
Die Invarianten einer Klasse projektiver Hjelmslev-Ebenen. (German. English summary)
J. Geometry 7 (1976), no. 2, 157--174.
50D35
417916
Drake, David A.
Charakterisierungen der Hjelmslev-Ebenen mit Invarianten $(4,2)$. (German)
Arch. Math. (Basel) 27 (1976), no. 4, 436--440.
50D35
406828
Drake, David A.; Lenz, Hanfried
Finite Hjelmslev planes with new integer invariants.
Bull. Amer. Math. Soc. 82 (1976), no. 2, 265--267.
05B25
398862
Drake, David A.
The existence problem for finite Hjelmslev planes.
Proceedings of the Fifth British Combinatorial Conference (Univ. Aberdeen, Aberdeen, 1975), pp. 141--149. Congressus Numerantium, No. XV,
Utilitas Math., Winnipeg, Man., 1976.
05B25 (50D35)
397535
Drake, David A.; Lenz, Hanfried
Finite Klingenberg planes.
Abh. Math. Sem. Univ. Hamburg 44 (1975), 70--83 (1976).
50D35 (05B25)
383230
Drake, David A.
More new integer pairs for finite Hjelmslev planes.
Illinois J. Math. 19 (1975), no. 4, 618--627.
50D35
377685
Drake, David A.
All $n$-uniform quasitranslation Hjelmslev planes are strongly $n$-uniform.
Proc. Amer. Math. Soc. 51 (1975), 494--498.
50D35
370346
Drake, David A.
Affine Hjelmslev-Ebenen mit verfeinerten Nachbarschaftsrelationen. (German)
Math. Z. 143 (1975), 15--25.
50D35
416949
Drake, David A.; Hale, Mark P., Jr.
Half counts in Latin quarters.
Discrete Math. 8 (1974), 257--268.
05B15
348608
Drake, David A.
Existence of parallelisms and projective extensions for strongly $n$-uniform near affine Hjelmslev planes.
Geometriae Dedicata 3 (1974), 191--214.
50D05 (05B25)
338913
Drake, David A.
Nonexistence results for finite Hjelmslev planes.
Abh. Math. Sem. Univ. Hamburg 40 (1974), 100--110.
50D35
332530
Drake, David A.
Near affine Hjelmslev planes.
J. Combinatorial Theory Ser. A 16 (1974), 34--50.
05B25 (50D05)
367799
Drake, David A.
Generalizations of affine Hjelmslev planes.
Proceedings of the International Conference Projective Planes (Washington State Univ., Pullman, Wash., 1973), pp. 77--81.
Washington State Univ. Press, Pullman, Wash., 1973.
50D35
332875
Clark, W. Edwin; Drake, David A.
Finite chain rings.
Abh. Math. Sem. Univ. Hamburg 39 (1973), 147--153.
16A44
310755
Drake, David A.
The structure of $n$-uniform translation Hjelmslev planes.
Trans. Amer. Math. Soc. 175 (1973), 249--282.
50D30
309811
Drake, David A.
Another note on Sperner's lemma.
Canad. Math. Bull. 14 (1971), 255--256.
06A10
307032
Drake, David A.
The translation groups of $n$-uniform translation Hjelmslev planes.
Pacific J. Math. 38 (1971), 365--375.
50D30
268770
Drake, David A.
On $n$-uniform Hjelmslev planes.
J. Combinatorial Theory 9 1970 267--288.
50.70
262919
Drake, David A.
Coordinatization of $H$-planes by $H$-modules.
Math. Z. 115 1970 79--103.
50.70
227848
Drake, David A.
Projective extensions of uniform affine Hjelmslev planes.
Math. Z. 105 1968 196--207.
50.60

Last update made Sun Jan 7 14:00:57 EST 2018