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

Anja Hallez; Fran\c{c}ois Rodier (IML); Fr\'ed\'eric Edoukou (IML); Leo Storme

arxiv: 0901.4205 · v1 · submitted 2009-01-27 · 🧮 math.AG · cs.IT· math.IT

On the small weight codewords of the functional codes C₂(Q), Q a non-singular quadric

Fr\'ed\'eric Edoukou (IML) , Anja Hallez , Fran\c{c}ois Rodier (IML) , Leo Storme This is my paper

classification 🧮 math.AG cs.ITmath.IT

keywords codewordssmallweightfunctionalnon-singularquadriccalculatecode

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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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On the small weight codewords of the functional codes C₂(Q), Q a non-singular quadric

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