Hansen, Johan Peder5; Johnsen, Trygve3; Ranestad, Kristian4
1 Department of Mathematical Sciences, Faculty of Science, Aarhus University, Aarhus University2 Department of Mathematics, Science and Technology, Aarhus University3 Universitetet i Bergen4 Universitetet i Oslo5 Department of Mathematics, Science and Technology, Aarhus University
We study subsets of Grassmann varieties over a field , such that these subsets are unions of Schubert cycles, with respect to a fixed flag. We study such sets in detail, and give applications to coding theory, in particular for Grassmann codes. For much is known about such Schubert unions with a maximal number of -rational points for a given spanning dimension. We study the case and give a conjecture for general . We also define Schubert union codes in general, and study the parameters and support weights of these codes.
Seminaires Et Congres, 2009, p. 103-123
Main Research Area:
Arithmetics, Geometry, and coding Theory - AGCT, 2009