Information on Result #657359
Linear OA(4944, 50, F49, 44) (dual of [50, 6, 45]-code or 50-arc in PG(43,49)), using algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 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(4955, 61, F49, 50) (dual of [61, 6, 51]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(4947, 53, F49, 46) (dual of [53, 6, 47]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 3 | Linear OA(4945, 53, F49, 44) (dual of [53, 8, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(4953, 59, F49, 49) (dual of [59, 6, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(4947, 57, F49, 44) (dual of [57, 10, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(4949, 61, F49, 44) (dual of [61, 12, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(4951, 65, F49, 44) (dual of [65, 14, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(4953, 69, F49, 44) (dual of [69, 16, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(4955, 73, F49, 44) (dual of [73, 18, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(4949, 55, F49, 47) (dual of [55, 6, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(4946, 55, F49, 44) (dual of [55, 9, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(4952, 67, F49, 44) (dual of [67, 15, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(4948, 59, F49, 44) (dual of [59, 11, 45]-code) | [i] | ✔ | |