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On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric
Published 27 Jan 2009 in math.AG, cs.IT, and math.IT | (0901.4205v1)
Abstract: 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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