2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217584We 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.Algebraic GeometryInformation TheoryOn the small weight codewords of the functional codes C_2(Q), Q a non-singular quadrictext