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arXiv · 0901.4205

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

Frédéric Edoukou·Anja Hallez·François Rodier·Leo Storme
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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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Frédéric Edoukou, Anja Hallez, François Rodier, Leo Storme. 2009-01-27. On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric. https://arxiv.org/abs/0901.4205

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