Institut de Mathématiques de Luminy

Abstract 2008-10

Rodier François, Storme Leo,  Hallez Anja, Edoukou Frédéric.
On the small weight codewords of the functional codes  C2(Q), Q a non-singular quadric

We study the small weight codewords of the functional code C2(Q), with Q 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. 

 

 

 

 

 

 


Last update : november 21, 2008, EL.