Information on Result #657686
Linear OA(4915, 50, F49, 15) (dual of [50, 35, 16]-code or 50-arc in PG(14,49)), using algebraic-geometric code AG(F, Q+6P) with degQ = 4 and 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]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [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(730, 100, F7, 15) (dual of [100, 70, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(4946, 100, F49, 31) (dual of [100, 54, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4947, 103, F49, 31) (dual of [103, 56, 32]-code) | [i] | ||
| 4 | Linear OA(4946, 103, F49, 30) (dual of [103, 57, 31]-code) | [i] | ||
| 5 | Linear OA(4922, 100, F49, 15) (dual of [100, 78, 16]-code) | [i] | ||