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DCC
2006
IEEE
16 years 6 months ago
(6, 3)-MDS Codes over an Alphabet of Size 4
Abstract. An (n, k)q-MDS code C over an alphabet A (of size q) is a collection of qk n-tuples over A such that no two words of C agree in as many as
T. Alderson
143
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DCC
2006
IEEE
16 years 6 months ago
Generalized Quadrangles with an Abelian Singer Group
In this note we characterize thick finite generalized quadrangles constructed from a generalized hyperoval as those admitting an abelian Singer group, i.e., an abelian group actin...
Stefaan De Winter, Koen Thas
DCC
2005
IEEE
16 years 6 months ago
On Goppa Codes and Weierstrass Gaps at Several Points
We generalize results of Homma and Kim [2001, J. Pure Appl. Algebra 162, 273?290] concerning an improvement on the Goppa bound on the minimum distance of certain Goppa codes.
Cícero Carvalho, Fernando Torres
DCC
2005
IEEE
16 years 6 months ago
A Family of Complete Caps in PG(n, 2)
We give a combinatorial construction of a one-parameter and a two-parameter family of complete caps in finite projective spaces over GF(2). As an application of our construction w...
Petr Lisonek, Mahdad Khatirinejad
DCC
2004
IEEE
16 years 6 months ago
Symplectic Spreads
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic.
Simeon Ball, John Bamberg, Michel Lavrauw, Tim Pen...