Information on Result #657770
Linear OA(2562, 257, F256, 2) (dual of [257, 255, 3]-code or 257-arc in PG(1,256)), using algebraic-geometric code AG(F,127P) with 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2569, 65538, F256, 5) (dual of [65538, 65529, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25629, 65792, F256, 11) (dual of [65792, 65763, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 3 | Linear OA(25629, 65792, F256, 11) (dual of [65792, 65763, 12]-code) | [i] | ||
| 4 | Linear OA(25630, 65795, F256, 11) (dual of [65795, 65765, 12]-code) | [i] | ||
| 5 | Linear OA(25630, 65795, F256, 11) (dual of [65795, 65765, 12]-code) | [i] | ||
| 6 | Linear OA(25627, 65792, F256, 10) (dual of [65792, 65765, 11]-code) | [i] | ||
| 7 | Linear OA(25627, 65792, F256, 10) (dual of [65792, 65765, 11]-code) | [i] | ||
| 8 | Linear OA(25623, 65792, F256, 9) (dual of [65792, 65769, 10]-code) | [i] | ||
| 9 | Linear OA(25624, 65795, F256, 9) (dual of [65795, 65771, 10]-code) | [i] | ||
| 10 | Linear OA(25620, 65792, F256, 8) (dual of [65792, 65772, 9]-code) | [i] | ||
| 11 | Linear OA(25620, 65792, F256, 8) (dual of [65792, 65772, 9]-code) | [i] | ||
| 12 | Linear OA(25621, 65795, F256, 8) (dual of [65795, 65774, 9]-code) | [i] | ||
| 13 | Linear OA(25621, 65795, F256, 8) (dual of [65795, 65774, 9]-code) | [i] | ||
| 14 | Linear OA(25616, 65792, F256, 7) (dual of [65792, 65776, 8]-code) | [i] | ||
| 15 | Linear OA(25617, 65796, F256, 7) (dual of [65796, 65779, 8]-code) | [i] | ||
| 16 | Linear OA(25614, 65792, F256, 6) (dual of [65792, 65778, 7]-code) | [i] | ||
| 17 | Linear OA(25615, 65796, F256, 6) (dual of [65796, 65781, 7]-code) | [i] | ||
| 18 | Linear OA(25610, 65792, F256, 5) (dual of [65792, 65782, 6]-code) | [i] | ||
| 19 | Linear OA(25611, 65795, F256, 5) (dual of [65795, 65784, 6]-code) | [i] | ||
| 20 | Linear OA(25612, 130816, F256, 5) (dual of [130816, 130804, 6]-code) | [i] | ||
| 21 | Linear OA(2568, 65792, F256, 4) (dual of [65792, 65784, 5]-code) | [i] | ||
| 22 | Linear OA(2569, 65795, F256, 4) (dual of [65795, 65786, 5]-code) | [i] | ||
| 23 | Linear OA(25611, 66052, F256, 5) (dual of [66052, 66041, 6]-code) | [i] | ||
| 24 | Linear OA(2565, 260, F256, 4) (dual of [260, 255, 5]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 25 | Linear OA(2569, 264, F256, 6) (dual of [264, 255, 7]-code) | [i] | ✔ | |
| 26 | Linear OA(25621, 66050, F256, 8) (dual of [66050, 66029, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 27 | Linear OA(25618, 66052, F256, 7) (dual of [66052, 66034, 8]-code) | [i] | ||
| 28 | Linear OA(25610, 65795, F256, 5) (dual of [65795, 65785, 6]-code) | [i] | ||