Information on Result #606774
Linear OA(25651, 256, F256, 51) (dual of [256, 205, 52]-code or 256-arc in PG(50,256)), using Reed–Solomon code RS(205,256)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(25654, 259, F256, 53) (dual of [259, 205, 54]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25652, 259, F256, 51) (dual of [259, 207, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(25656, 261, F256, 54) (dual of [261, 205, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(25653, 261, F256, 51) (dual of [261, 208, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(25658, 263, F256, 55) (dual of [263, 205, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(25654, 263, F256, 51) (dual of [263, 209, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(25660, 265, F256, 56) (dual of [265, 205, 57]-code) | [i] | ✔ | |
| 8 | Linear OA(25655, 265, F256, 51) (dual of [265, 210, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(25662, 267, F256, 57) (dual of [267, 205, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(25656, 267, F256, 51) (dual of [267, 211, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(25664, 269, F256, 58) (dual of [269, 205, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(25657, 269, F256, 51) (dual of [269, 212, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(25666, 271, F256, 59) (dual of [271, 205, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(25658, 271, F256, 51) (dual of [271, 213, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(25668, 273, F256, 60) (dual of [273, 205, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(25659, 273, F256, 51) (dual of [273, 214, 52]-code) | [i] | ✔ | |
| 17 | Linear OA(25660, 275, F256, 51) (dual of [275, 215, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(25661, 277, F256, 51) (dual of [277, 216, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(25662, 279, F256, 51) (dual of [279, 217, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(25663, 281, F256, 51) (dual of [281, 218, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(25664, 283, F256, 51) (dual of [283, 219, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(25665, 285, F256, 51) (dual of [285, 220, 52]-code) | [i] | ✔ | |
| 23 | Linear OA(25666, 287, F256, 51) (dual of [287, 221, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(25667, 289, F256, 51) (dual of [289, 222, 52]-code) | [i] | ✔ | |
| 25 | Linear OA(25668, 291, F256, 51) (dual of [291, 223, 52]-code) | [i] | ✔ | |