Functional codes arising from quadric intersections with Hermitian varieties

Authors:
A. Hallez;L. Storme
Affiliations:
Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281-S22, 9000 Ghent, Belgium;Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281-S22, 9000 Ghent, Belgium
Venue:
Finite Fields and Their Applications
Year:
2010

Citing 3
Cited 3

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The small weight codewords of the functional codes associated to non-singular Hermitian varieties

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On the functional codes defined by quadrics and Hermitian varieties

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Abstract

We investigate the functional code C"h(X) introduced by G. Lachaud (1996) [10] in the special case where X is a non-singular Hermitian variety in PG(N,q^2) and h=2. In [4], F.A.B. Edoukou (2007) solved the conjecture of Sorensen (1991) [11] on the minimum distance of this code for a Hermitian variety X in PG(3,q^2). In this paper, we will answer the question about the minimum distance in general dimension N, with N