Information on Result #657971
Linear OA(25659, 257, F256, 59) (dual of [257, 198, 60]-code or 257-arc in PG(58,256)), using algebraic-geometric code AG(F, Q+97P) 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(16118, 514, F16, 59) (dual of [514, 396, 60]-code) | [i] | Trace Code | |
| 2 | OA(3295, 257, S32, 59) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6479, 257, S64, 59) | [i] | ||
| 4 | Linear OA(25662, 260, F256, 61) (dual of [260, 198, 62]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 5 | Linear OA(25660, 260, F256, 59) (dual of [260, 200, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(25666, 264, F256, 63) (dual of [264, 198, 64]-code) | [i] | ✔ | |
| 7 | Linear OA(25662, 264, F256, 59) (dual of [264, 202, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(25664, 268, F256, 59) (dual of [268, 204, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(25666, 272, F256, 59) (dual of [272, 206, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(25668, 276, F256, 59) (dual of [276, 208, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(25664, 262, F256, 62) (dual of [262, 198, 63]-code) | [i] | ✔ | |
| 12 | Linear OA(25661, 262, F256, 59) (dual of [262, 201, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(25667, 274, F256, 59) (dual of [274, 207, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(25668, 266, F256, 64) (dual of [266, 198, 65]-code) | [i] | ✔ | |
| 15 | Linear OA(25663, 266, F256, 59) (dual of [266, 203, 60]-code) | [i] | ✔ | |