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W2069892528 abstract "We study the small weight codewords of the functional code C2(Q), with Q a non-singular quadric in 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." @default.
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W2069892528 date "2010-10-01" @default.
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W2069892528 title "A study of intersections of quadrics having applications on the small weight codewords of the functional codes <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mstyle mathvariant=normal><mml:mi>Q</mml:mi></mml:mstyle><mml:mo>)</mml:mo></mml:mrow></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/…" @default.
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W2069892528 doi "https://doi.org/10.1016/j.jpaa.2009.12.017" @default.
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