Information on Result #657969
Linear OA(25661, 257, F256, 61) (dual of [257, 196, 62]-code or 257-arc in PG(60,256)), using algebraic-geometric code AG(F, Q+96P) with degQ = 3 and degPÂ =Â 2 based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(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(16122, 514, F16, 61) (dual of [514, 392, 62]-code) | [i] | Trace Code | |
| 2 | Linear OA(25664, 260, F256, 63) (dual of [260, 196, 64]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 3 | Linear OA(25662, 260, F256, 61) (dual of [260, 198, 62]-code) | [i] | ✔ | |
| 4 | Linear OA(25668, 264, F256, 65) (dual of [264, 196, 66]-code) | [i] | ✔ | |
| 5 | Linear OA(25664, 264, F256, 61) (dual of [264, 200, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(25666, 268, F256, 61) (dual of [268, 202, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(25668, 272, F256, 61) (dual of [272, 204, 62]-code) | [i] | ✔ | |
| 8 | Linear OA(25666, 262, F256, 64) (dual of [262, 196, 65]-code) | [i] | ✔ | |
| 9 | Linear OA(25663, 262, F256, 61) (dual of [262, 199, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(25665, 266, F256, 61) (dual of [266, 201, 62]-code) | [i] | ✔ | |