Information on Result #606780
Linear OA(25657, 256, F256, 57) (dual of [256, 199, 58]-code or 256-arc in PG(56,256)), using Reed–Solomon code RS(199,256)
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(25660, 259, F256, 59) (dual of [259, 199, 60]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25658, 259, F256, 57) (dual of [259, 201, 58]-code) | [i] | ✔ | |
| 3 | Linear OA(25662, 261, F256, 60) (dual of [261, 199, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(25659, 261, F256, 57) (dual of [261, 202, 58]-code) | [i] | ✔ | |
| 5 | Linear OA(25664, 263, F256, 61) (dual of [263, 199, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(25660, 263, F256, 57) (dual of [263, 203, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(25666, 265, F256, 62) (dual of [265, 199, 63]-code) | [i] | ✔ | |
| 8 | Linear OA(25661, 265, F256, 57) (dual of [265, 204, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(25668, 267, F256, 63) (dual of [267, 199, 64]-code) | [i] | ✔ | |
| 10 | Linear OA(25662, 267, F256, 57) (dual of [267, 205, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(25663, 269, F256, 57) (dual of [269, 206, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(25664, 271, F256, 57) (dual of [271, 207, 58]-code) | [i] | ✔ | |
| 13 | Linear OA(25665, 273, F256, 57) (dual of [273, 208, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(25666, 275, F256, 57) (dual of [275, 209, 58]-code) | [i] | ✔ | |
| 15 | Linear OA(25667, 277, F256, 57) (dual of [277, 210, 58]-code) | [i] | ✔ | |
| 16 | Linear OA(25668, 279, F256, 57) (dual of [279, 211, 58]-code) | [i] | ✔ | |