2000 character limit reached
On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric
Published 27 Jan 2009 in math.AG, cs.IT, and math.IT | (0901.4205v1)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.