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On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric
Frédéric Edoukou</name> <arxiv:affiliation>IML</arxiv:affi · 2009-01-28 · via cs.IT updates on arXiv.org

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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