Information on Result #701564
Linear OA(864, 65, F8, 64) (dual of [65, 1, 65]-code or 65-arc in PG(63,8)), using the narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 65
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(864, 65, F8, 63) (dual of [65, 1, 64]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(864, 65, F8, 62) (dual of [65, 1, 63]-code) | [i] | ||
| 3 | Linear OA(864, 65, F8, 61) (dual of [65, 1, 62]-code) | [i] | ||
| 4 | Linear OA(864, 65, F8, 60) (dual of [65, 1, 61]-code) | [i] | ||
| 5 | Linear OA(864, 65, F8, 59) (dual of [65, 1, 60]-code) | [i] | ||
| 6 | Linear OA(864, 65, F8, 58) (dual of [65, 1, 59]-code) | [i] | ||
| 7 | Linear OA(898, 122, F8, 64) (dual of [122, 24, 65]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(8107, 152, F8, 64) (dual of [152, 45, 65]-code) | [i] | ||
| 9 | Linear OA(8108, 156, F8, 64) (dual of [156, 48, 65]-code) | [i] | ||
| 10 | Linear OA(8109, 160, F8, 64) (dual of [160, 51, 65]-code) | [i] | ||
| 11 | Linear OA(8112, 173, F8, 64) (dual of [173, 61, 65]-code) | [i] | ||
| 12 | Linear OA(8128, 270, F8, 64) (dual of [270, 142, 65]-code) | [i] | ||
| 13 | Linear OA(8129, 278, F8, 64) (dual of [278, 149, 65]-code) | [i] | ||
| 14 | Linear OA(887, 96, F8, 64) (dual of [96, 9, 65]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(885, 93, F8, 64) (dual of [93, 8, 65]-code) | [i] | ✔ | |