Information on Result #657557
Linear OA(4920, 50, F49, 20) (dual of [50, 30, 21]-code or 50-arc in PG(19,49)), using algebraic-geometric code AG(F, Q+9P) with degQ = 2 and 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(740, 100, F7, 20) (dual of [100, 60, 21]-code) | [i] | Trace Code | |
| 2 | Linear OA(4930, 100, F49, 20) (dual of [100, 70, 21]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(790, 150, F7, 41) (dual of [150, 60, 42]-code) | [i] | Concatenation of Two Codes | |