Name
Title | ||
|---|---|---|
Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes. |
Abstract | ||
|---|---|---|
We present bounds on the number of points in algebraic curves and algebraic hypersurfaces in P-n(F-q) of small degree d, depending on the number of linear components contained in such curves and hypersurfaces. The obtained results have applications to the weight distribution of the projective Reed-Muller codes PRM(q, d, n) over the finite field IFq. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3934/amc.2016010 | ADVANCES IN MATHEMATICS OF COMMUNICATIONS |
Keywords | Field | DocType |
Algebraic varieties,quadrics,small weight codewords,intersections,projective Reed-Muller codes | Discrete mathematics,Projective line,Combinatorics,Function field of an algebraic variety,Twisted cubic,Algebraic curve,Algebraic surface,Algebraic cycle,Mathematics,Bézout's theorem,Projective space | Journal |
Volume | Issue | ISSN |
10 | 2 | 1930-5346 |
Citations | PageRank | References |
3 | 0.44 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniele Bartoli | 1 | 71 | 23.04 |
| Adnen Sboui | 2 | 25 | 2.75 |
| Leo Storme | 3 | 197 | 38.07 |