On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric

Details On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric

2009-01-27

arxiv.org/abs/0901.4205v1

Mathematics

Algebraic Geometry

Scientific paper

We study the small weight codewords of the functional code C_2(Q), with Q a
non-singular quadric of PG(N,q). We prove that the small weight codewords
correspond to the intersections of Q with the singular quadrics of PG(N,q)
consisting of two hyperplanes. We also calculate the number of codewords having
these small weights.

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