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

Authors
  • Edoukou, Frédéric
  • Hallez, Anja
  • Rodier, François
  • Storme, Leo
Type
Preprint
Publication Date
Jan 27, 2009
Submission Date
Jan 27, 2009
Source
arXiv
License
Yellow
External links

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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