Publications: A. Bruen

PAPERS IN REFEREED JOURNALS

1.    Spreads which are not dual spreads, Canad. Math. Bull. 12(1969), 801-803. (Joint paper with J.C. Fisher).

2.    Baer subplanes and blocking sets, Bull. Amer. Math. Soc. 76(1970), 342-344.

3.    Partial spreads and replaceable nets, Canad. J. Math. 20(1971), No. 3, 381-391.

4.    Blocking sets in finite projective planes, Siam J. Appl. Math. 21(1971), 380-392.

5.    Arcs and ovals in derivable planes, Math. Z. 125(1972), 122-128. (Joint paper with J.C. Fisher).

6.    Unimbeddable nets of small deficiency, Pacific J. Math. 43(1972), No. 1, 51-54.

7.    Permutation functions on a finite field, Canad. Math. Bull. 15(1972), No. 4, 595-597.

8.    Spreads and a conjecture of Bruck and Bose, J. Algebra 23(1972), No. 3, 519-537.

9.    Blocking sets, k-Arcs and nets of order ten, Advances in Mathematics 10(1973), No. 2, 317-320. (Joint paper with J.C. Fisher).

10.    The theorems of Chasles and Segre, Advances in Mathematics 10(1973), No. 2, 188-192.

11.    The number of lines determined by n2 points, J. Combinatorial Theory, Series A, 15(1973), No. 2, 225-241.

12.    A theorem on permutation of a finite field, Canad. J. Math. 25(1973), No. 5, 1060-1065. (Joint paper with B. Levinger).

13.    Switching sets in PG(3,q), Proc. Amer. Math. Soc. 43(1974), No. 1, 176-180. (Joint paper with Robert Silverman).

14.    Blocking sets and complete k-Arcs, Pacific J. Math. 52(1974), No. 1, 73-84. (Joint paper with J.C. Fisher).

15.    The n-Queens problem, Discrete Mathematics 12(1975), 393-395. (Joint paper with R. Dixon).

16.    Collineations and extensions of translation nets, Math. Z. 145(1975), 243-249.

17.    Subregular spreads and indicator sets, Canad. J. Math. 27(1975), No. 5, 1141-1148.

18.    Flocks, chains, and configurations in finite geometries, Rend. della Classe di Scienze fisiche, matematiche e naturali, Series 8, Volume 59(1975), No. 6, 744-748. (Joint paper with J.A. Thas).

19.    Partial spreads, packing and hermitian manifolds in PG(3,q), Math. Z. 151(1976), 207-214. (Joint paper with J.A. Thas).

20.    Blocking sets, Geometriae Dedicata 6(1977), 193-203. (Joint paper with J.A. Thas).

21.    Some new replaceable translation nets, Canad. J. Math. 29(1977), No. 2, 225-237.

22.    Applications of line geometry over finite fields I, Geometriae Dedicata 6(1977), 495-509. (Joint paper with J.W.P. Hirschfeld).

23.    Inversive geometry and some new translation planes, I, Geometriae Dedicata 7(1978), 81-98.

24.    Applications of line geometry over finite fields II, Geometriae Dedicata 7(1978), 333-353. (Joint paper with J.W.P. Hirschfeld).

25.    On characterizing subspaces, J. Combinatorial Theory A 29(1980), 257-260. (Joint paper with B.L. Rothschild and J.H. van Lint).

26.    Blocking sets and skew subspaces of projective space, Canad. J. Math. 32(1980), 628-630.

27.    Arcs and blocking sets, in Finite Geometries and Designs, London Mathematical Society Lecture Notes Series, No. 49, Cambridge University Press, 1981, pp. 52-60. (Joint paper with Robert Silverman).

28.    Intersections of t-reguli, rational curves, and orthogonal Latin squares, Linear Algebra and its Applications 46(1982), 103-116. (Joint paper with J.W. Freeman).

29.    Intersection of Baer subgeometries, Archiv Der Mathematik 39(1982), 285-288.

30.    Arcs in planes of even order, Europ. J. Combinatorics 3(1982), 17-18.

31.    Lower bounds for complete {k;n}-ARCS, Journal of Combinatorial Theory, Series A, 33,1(1982), 109-111.

32.    Hyperplane coverings and blocking sets, Math. Z. 181(1982), 407-409. (Joint paper with J.A. Thas).

33.    Blocking sets in affine planes, Combinatorics 1981 in honor of Beniamino Segre, Annals of Discrete Mathematics 18(1983), 169-176. (Joint paper with M.J. de Resmini).

34.    Apollonius by inversion, Mathematics Magazine 56,2(1983), 97-103. (Joint paper with J.C. Fisher and J.B. Wilker).

35.    A combinatorial characterization of maximal (k;n)-ARCS, Simon Stevin 57(1983), 141-143. (Joint paper with J.A. Thas).

36.    On the non-existence of certain M.D.S. codes and projective planes, Math. Z. 183(1983), 171-175. (Joint paper with Robert Silverman).

37.    Lower bounds on blocking sets, Pacific J. of Math. 118(1985), 303-311. (In memory of Ernst Strauss: joint paper with B.L. Rothschild).

38.    Polynomials with Frobenius groups of prime degree as Galois groups, Math. Reports, Royal Society of Canada, 3(June 1985), 171-175. (Joint paper with C. Jensen and N. Yui).

39.    Polynomials with Frobenius groups of prime degree as Galois groups II, J. Number Theory 24,3(1986), 305-359. (Joint paper with C. Jensen and N. Yui).

40.    Intersections in projective space I: Combinatorics, Math. Z. 193(1986), 215-225. (Joint paper with J.W.P. Hirschfeld).

41.    Arcs and multiple blocking sets, Combinatorics (Roma 1983). Symposia Mathematica, Instituto Nazionale di Alta Matematica Francesco Severi, Volume 28, Academic Press, 1986, 15-29.

42.    Arcs and blocking sets II, Europ. J. Combinatorics 8(1987), 351-356. (Joint paper with Robert Silverman).

43.    On M.D.S. codes, arcs in PG(n,q) with q even and a solution of three fundamental problems of B. Segre, Inventiones Math. 92(1988), 441-459. (Joint paper with J.A. Thas and A. Blokhuis).

44.    On extendable planes, M.D.S. codes and hyperovals in PG(2,q), q = 2t, Geometriae Dedicata 28(1988), 31-43. (Joint paper with Robert Silverman).

45.    Intersections in projective space II: pencils of quadries, Europ. J. Combinatorics 9(1988), 255-270. (Joint paper with J.W.P. Hirschfeld).

46.    M.D.S. codes and arcs in projective space I, C.R. Math. Rep. Acad. Sci. Canada 10,5(1988), 225-230. (Joint paper with J.A. Thas and A. Blokhuis).

47.    M.D.S. codes and arcs in projective space II, C.R. Math. Rep. Acad. Sci. Canada 10,6(1988), 233-235. (Joint paper with J.A. Thas and A. Blokhuis).

48.    The minimal number of lines intersected by a set of q + 2 points, blocking sets and intersecting circles, J. of Combinatorial Theory A. 50(1989), 308-315. (Joint paper with A. Blokhuis).

49.    Kummer configurations and designs embedded in planes, Journal of Combinatorial Theory, Series A, 52(1989), 154-157.

50.    Nuclei of sets of q + 1 points in PG(2,q) and blocking sets of Redei type, Journal of Combinatorial Theory, Series A, 55(1990), 130-132.

51.    On the p-rank of incidence matrices and a question of E.S. Lander, Contemporary Mathematics 111(1990), 39-45. (Joint paper with U. Ott).

52.    Arcs in PG(n,q), MDS codes and three fundamental problems of B. Segre--some extensions, Geometriae Dedicata 35(1990), 1-11. (Joint paper with A. Blokhuis and J.A. Thas).

53.    The Jamison method in Galois geometries, Designs, Codes and Cryptography 1(3)(1991), 199-205. (Joint paper with J.C. Fisher).

54.    Polynomial multiplicities over finite fields and intersection sets, Journal of Combinatorial Theory A 60,1(1992), 19-33.

55.    An observation on certain point-line configurations in classical planes, Van Lint Volume of Discrete Mathematics 106/107(1992), 93-96.

56.    Solution to a question of A. Beutelspacher on finite linear spaces, Discrete Mathematics 129(1994), 219-220.

PAPERS TO APPEAR

57.    There exist caps which block all spaces of fixed codimension in PG(n,2), J. Comb. Theory. (Joint paper with A.E. Brouwer and D. Wehlau).

58.    Partitioning quadrics, symmetric group divisible designs and caps, Designs, Codes and Cryptography. (Joint paper with D. Wehlau).

59.    Binary codes and caps, text of one hour invited address at Combinatorics '94, Discrete Math. (Joint paper with D. Wehlau).

60.    Caps, codes and colourings of Steiner triple systems, J. of Statistical Planning and Inference (special issue). (Joint paper with L. Haddad and D. Wehlau).

61.    Blocking sets over binary fields, Designs, Codes and Cryptography. (Joint paper with D. Wehlau and L. Haddad).

PAPER SUBMITTED FOR PUBLICATION IN A REFEREED JOURNAL

62.    Intersection sets in PG(n,2). Joint paper with L. Haddad and D. Wehlau. 11 pages submitted.

PAPERS IN REFEREED CONFERENCE PROCEEDINGS, ONE HOUR INVITED ADDRESSES

63.    Topics in combinatorial coding theory, working paper, Summer Research Institute of the C.M.C., Dalhousie University, 1975, 18 pages.

64.    B.I.B. designs and the Hadamard problem, (with M.M. Ali). Proceedings of the Conference in Statistics, Ball State University, April 1976, 68-74.

65.    Characterizing subspaces, Proc. 10th Southeast Conference on Combinatorics, Graph Theory and Computing, April 1979, 199-210. (Joint paper with B.L. Rothschild).

66.    Nonexistence theorems for hypercube codes, Proceedings of Ohio State Conference, June 1982. (Joint paper with Robert Silverman).

67.    Blocking sets and translation nets, in Finite Geometries (Proceedings of a Conference in honor of T.G. Ostrom), 1983, 77-92.

68.    Finite geometries-a miscellany, in Planes, Designs and Galois Geometries, Combinatorics '88 (Proceedings of An International Conference on Incidence Geometries and Combinatorial Structures), Mediterranean Press 1(1991), 39-59.

ARTICLES IN PREPARATION

69.    Maximal projective linefree sets in PG(n,2). 18 pages in preparation. (Joint paper with L. Haddad and D. Wehlau).

70.    Intersections of hyperconics in projective planes of even order. (Joint paper with J. McQuillan).

71.    Configurations in finite geometries. (Joint paper with F. Mazzocca).

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Last update: March 20, 1996