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1. Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes

   The existence of certain monomial hyperovals D ( x ^k ) in the finite Desarguesian projective plane PG (2, q ), q even, is related to the existence of...

   Fernando Hernando, Gary McGuire in Designs, Codes and Cryptography

   Article 16 February 2012

2. A geometric proof of a theorem on antiregularity of generalized quadrangles

   A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized...

   Anna Y. Pun, Philip P. W. Wong in Designs, Codes and Cryptography

   Article Open access 16 October 2011

3. On construction of involutory MDS matrices from Vandermonde Matrices in GF(2 ^q )

   Due to their remarkable application in many branches of applied mathematics such as combinatorics, coding theory, and cryptography, Vandermonde...

   Mahdi Sajadieh, Mohammad Dakhilalian, ... Behnaz Omoomi in Designs, Codes and Cryptography

   Article 12 November 2011

4. Small weight codewords in the dual code of points and hyperplanes in PG(n, q), q even

   M. De Boeck in Designs, Codes and Cryptography

   Article 21 July 2011

5. A condition for arcs and MDS codes

   A set of n  +  k points ( k  > 0) in projective space of dimension n is said to be an ( n  +  k )-arc if there is no hyperplane containing any n + 1 points...

   David G. Glynn in Designs, Codes and Cryptography

   Article 04 May 2010

6. On multiple caps in finite projective spaces

   In this paper, we consider new results on ( k , n )-caps with n > 2. We provide a lower bound on the size of such caps. Furthermore, we generalize two...

   Yves Edel, Ivan Landjev in Designs, Codes and Cryptography

   Article 16 April 2010

7. Some low-density parity-check codes derived from finite geometries

   Peter Vandendriessche in Designs, Codes and Cryptography

   Article 03 September 2009

8. On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces

   We study the point-line incidence structures of nonsingular points and hyperbolic secant lines associated with ovoids in finite orthogonal spaces. We...

   John Fuelberth, Athula Gunawardena, C. David Shaffer in Designs, Codes and Cryptography

   Article 19 November 2009

9. Linear codes with covering radius 3

   The shortest possible length of a q -ary linear code of covering radius R and codimension r is called the length function and is denoted by ℓ ...

   Alexander A. Davydov, Patric R. J. Östergård in Designs, Codes and Cryptography

   Article 30 August 2009

10. Spreads in Projective Hjelmslev Geometries

    We prove a necessary and sufficient condition for the existence of spreads in the projective Hjelmslev geometries...

    Ivan Landjev in Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

    Conference paper 2009
    

11. Complete (q ² + q + 8)/2-caps in the spaces PG(3, q), q ≡ 2 (mod 3) an odd prime, and a complete 20-cap in PG(3, 5)

    An infinite family of complete ( q ²  +  q  + 8)/2-caps is constructed in PG (3, q ) where q is an odd prime ≡ 2 (mod 3), q ≥ 11. This yields a new lower...

    Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco in Designs, Codes and Cryptography

    Article 11 September 2008

12. Tight sets, weighted m-covers, weighted m-ovoids, and minihypers

    Minihypers are substructures of projective spaces introduced to study linear codes meeting the Griesmer bound. Recently, many results in finite...

    Jan De Beule, Patrick Govaerts, ... Leo Storme in Designs, Codes and Cryptography

    Article 15 July 2008

13. Maximal caps in AG (6, 3)

    We show that there are no complete 44-caps in AG(5, 3). We then use this result to prove that the maximal size for a cap in AG(6, 3) is equal to 112,...

    Aaron Potechin in Designs, Codes and Cryptography

    Article 10 January 2008

14. On cyclic caps in 4-dimensional projective spaces

    For any divisor k of q ⁴ −1, the elements of a group of k th -roots of unity can be viewed as a cyclic point set C _k in PG (4, q ). An interesting...

    Massimo Giulietti in Designs, Codes and Cryptography

    Article 26 July 2007

15. Sequences in abelian groups G of odd order without zero-sum subsequences of length exp(G)

    Yves Edel in Designs, Codes and Cryptography

    Article 12 July 2007

16. Twisted tensor product codes

    We present two families of constacyclic linear codes with large automorphism groups. The codes are obtained from the twisted tensor product...

    Anton Betten in Designs, Codes and Cryptography

    Article 23 August 2007

17. Veronese embedding and two–character sets

    Two infinite families of two–character sets in PG (5, q ) arising from the Veronese surface of PG (5, q ) are constructed.

    Antonio Cossidente, Giuseppe Marino in Designs, Codes and Cryptography

    Article 01 November 2006

18. The polynomial degree of the Grassmannian G(1,n,q) of lines in finite projective space PG(n, q)

    David G. Glynn, Johannes G. Maks, Rey Casse in Designs, Codes and Cryptography

    Article 01 September 2006

19. LDPC codes generated by conics in the classical projective plane

    We construct various classes of low-density parity-check codes using point-line incidence structures in the classical projective plane PG (2, q ). Each...

    Sean V. Droms, Keith E. Mellinger, Chris Meyer in Designs, Codes and Cryptography

    Article 01 September 2006

20. Classification and Constructions of Complete Caps in Binary Spaces

    We give new recursive constructions of complete caps in PG( n ,2). We approach the problem of constructing caps with low dependency via the doubling...

    Mahdad Khatirinejad, Petr Lisoněk in Designs, Codes and Cryptography

    Article 01 April 2006