Information on Result #657516
Linear OA(4916, 50, F49, 16) (dual of [50, 34, 17]-code or 50-arc in PG(15,49)), using algebraic-geometric code AG(F,11P) with degPÂ =Â 3 based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Extended Reed–Solomon Code [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(732, 100, F7, 16) (dual of [100, 68, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(4950, 103, F49, 33) (dual of [103, 53, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4948, 100, F49, 32) (dual of [100, 52, 33]-code) | [i] | ||
| 4 | Linear OA(4949, 103, F49, 32) (dual of [103, 54, 33]-code) | [i] | ||
| 5 | Linear OA(4924, 100, F49, 16) (dual of [100, 76, 17]-code) | [i] | ||