Information on Result #714871
Linear OA(862, 63, F8, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,8)), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63
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
- Repetition Code [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(862, 63, F8, 61) (dual of [63, 1, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(862, 63, F8, 60) (dual of [63, 1, 61]-code) | [i] | ||
| 3 | Linear OA(862, 63, F8, 59) (dual of [63, 1, 60]-code) | [i] | ||
| 4 | Linear OA(862, 63, F8, 58) (dual of [63, 1, 59]-code) | [i] | ||
| 5 | Linear OA(862, 63, F8, 57) (dual of [63, 1, 58]-code) | [i] | ||
| 6 | Linear OA(862, 63, F8, 56) (dual of [63, 1, 57]-code) | [i] | ||
| 7 | Linear OA(893, 113, F8, 62) (dual of [113, 20, 63]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(8103, 145, F8, 62) (dual of [145, 42, 63]-code) | [i] | ||
| 9 | Linear OA(8111, 180, F8, 62) (dual of [180, 69, 63]-code) | [i] | ||
| 10 | Linear OA(8122, 247, F8, 62) (dual of [247, 125, 63]-code) | [i] | ||
| 11 | Linear OA(8138, 403, F8, 62) (dual of [403, 265, 63]-code) | [i] | ||
| 12 | Linear OA(8141, 443, F8, 62) (dual of [443, 302, 63]-code) | [i] | ||
| 13 | Linear OA(8143, 472, F8, 62) (dual of [472, 329, 63]-code) | [i] | ||
| 14 | Linear OA(8153, 651, F8, 62) (dual of [651, 498, 63]-code) | [i] | ||
| 15 | Linear OA(887, 100, F8, 57) (dual of [100, 13, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(882, 91, F8, 62) (dual of [91, 9, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(877, 86, F8, 58) (dual of [86, 9, 59]-code) | [i] | ✔ | |
| 18 | Linear OA(881, 89, F8, 62) (dual of [89, 8, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(877, 85, F8, 59) (dual of [85, 8, 60]-code) | [i] | ✔ | |
| 20 | Linear OA(873, 81, F8, 56) (dual of [81, 8, 57]-code) | [i] | ✔ | |
| 21 | Linear OA(878, 86, F8, 60) (dual of [86, 8, 61]-code) | [i] | ✔ | |