Title | ||
---|---|---|
On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric |
Abstract | ||
---|---|---|
We study the small weight codewords of the functional code C2(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. |
Year | Venue | Keywords |
---|---|---|
2009 | Clinical Orthopaedics and Related Research | algebraic geometry,information theory |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Hyperplane,Mathematics,Quadric | Journal | abs/0901.4 |
Citations | PageRank | References |
1 | 0.70 | 1 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
frederic a b edoukou | 1 | 33 | 5.99 |
Anja Hallez | 2 | 25 | 4.61 |
François Rodier | 3 | 39 | 9.83 |
Leo Storme | 4 | 197 | 38.07 |