On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric
Algebraic Geometry
2009-01-28 v1 Information Theory
math.IT
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.
Keywords
Cite
@article{arxiv.0901.4205,
title = {On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric},
author = {Frédéric Edoukou and Anja Hallez and François Rodier and Leo Storme},
journal= {arXiv preprint arXiv:0901.4205},
year = {2009}
}