Information on Result #657633
Linear OA(4924, 50, F49, 24) (dual of [50, 26, 25]-code or 50-arc in PG(23,49)), using algebraic-geometric code AG(F,5P) with degPÂ =Â 5 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(748, 100, F7, 24) (dual of [100, 52, 25]-code) | [i] | Trace Code | |
| 2 | Linear OA(4936, 100, F49, 24) (dual of [100, 64, 25]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(798, 150, F7, 49) (dual of [150, 52, 50]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(4938, 134, F49, 24) (dual of [134, 96, 25]-code) | [i] | Varšamov–Edel Lengthening | |