Bambina Larato

Publications (10)0.73 Total impact

• Article: Complete caps in PG(3, q) with q odd.

  Vito Abatangelo, Bambina Larato
  Discrete Mathematics. 01/2008; 308:184-187.
• Article: Elliptic near-MDS codes over

  Vito Abatangelo, Bambina Larato
  Des. Codes Cryptography. 01/2008; 46:167-174.
• Article: Near-MDS codes arising from algebraic curves.

  Vito Abatangelo, Bambina Larato
  Discrete Mathematics. 01/2005; 301:5-19.
• Article: Doubly beta-Derived Translation Planes.

  Vito Abatangelo, Bambina Larato
  Des. Codes Cryptography. 01/2003; 28:65-74.
• Article: Polarity and transitive parabolic unitals in translation planes of odd order

  Vito Abatangelo, Bambina Larato
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  ABSTRACT: A parabolic unital of a translation plane is called transitive, if the collineation group G fixing fixes the point at infinity of and acts transitively on the affine points of . It has been conjectured that if a transitive parabolic unital consists of the absolute points of a unitary polarity in a commutative semi-field plane, then the sharply transitive normal subgroupK of G is not commutative. So far, this has been proved for commutative twisted field planes of odd square order, see [1],[5]. Here we prove this conjecture for commutative Dickson planes.
  Journal of Geometry 10/2002; 74(1):1-6.
• Article: Transitive parabolic unitals in translation planes of odd order.

  Vito Abatangelo, Gábor Korchmáros, Bambina Larato
  Discrete Mathematics. 01/2001; 231:3-10.
• Article: Ovals and unitals in commutative twisted field planes.

  Vito Abatangelo, M. R. Enea, Gábor Korchmáros, Bambina Larato
  Discrete Mathematics. 01/1999; 208-209:3-8.
• Article: Classification of maximal caps in PG(3,5) different from elliptic quadrics

  Vito Abatangelo, Gabor Korchmaros, Bambina Larato
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  ABSTRACT: Ak-cap in PG(3,q) is a set of k points, no three of which are collinear. A k-cap is calledcomplete if it is not contained in a (k+1)-cap. The maximum valuem 2(3, q) ofk for which there exists a k-cap in PG(3,q) is q2+1. Letm 2(3, q) denote the size of the second largest complete k-cap in PG(3,q). This number is only known for the smallest values of q, namely for q=2, 3,4 (cf. [2], pp. 96–97 and [3], p. 303). In this paper we show thatm 2(3,5)=20. We also prove that there are, up to isomorphism, only two complete 20-caps in PG(3,5) and determine their collineation groups.
  Journal of Geometry 10/1996; 57(1):9-19.
• Article: A characterization of Buekenhout-Metz unitals in PG(2, q2), q even

  Vito Abatangelo, Bambina Larato
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  ABSTRACT: The known examples of embedded unitals (i.e. Hermitian arcs) in PG(2, q 2) are B-unitals, i.e. they can be obtained from ovoids of PG(3, q) by a method due to Buekenhout. B-unitals arising from elliptic quadrics are called BM-unitals. Recently, BM-unitals have been classified and their collineation groups have been investigated. A new characterization is given in this paper. We also compute the linear collineation group fixing the B-unital arising from the Segre-Tits ovoid of PG(3, 2 r ), r3 odd. It turns out that this group is an Abelian group of order q 2.
  Geometriae Dedicata 01/1996; 59(2):137-145. · 0.36 Impact Factor
• Article: A characterization of Denniston's maximal arcs

  Vito Abatangelo, Bambina Larato
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  ABSTRACT: Our main result is the following characterization of Denniston's maximal arcs: If a maximal arcK in PG(2,q),q even, is invariant under a linear collineation group of PG(2,q) which is cyclic and has orderq+1, thenK is a Denniston's maximal arc.
  Geometriae Dedicata 04/1989; 30(2):197-203. · 0.36 Impact Factor