Information on Result #714788
Linear OA(848, 63, F8, 36) (dual of [63, 15, 37]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,44}, and designed minimum distance d ≥ |I|+1 = 37
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
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8111, 126, F8, 73) (dual of [126, 15, 74]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8110, 124, F8, 73) (dual of [124, 14, 74]-code) | [i] | ||
| 3 | Linear OA(8172, 186, F8, 110) (dual of [186, 14, 111]-code) | [i] | ||
| 4 | Linear OA(8109, 122, F8, 73) (dual of [122, 13, 74]-code) | [i] | ||
| 5 | Linear OA(8170, 183, F8, 110) (dual of [183, 13, 111]-code) | [i] | ||
| 6 | Linear OA(8108, 120, F8, 73) (dual of [120, 12, 74]-code) | [i] | ||
| 7 | Linear OA(8168, 180, F8, 110) (dual of [180, 12, 111]-code) | [i] | ||
| 8 | Linear OA(8107, 118, F8, 73) (dual of [118, 11, 74]-code) | [i] | ||
| 9 | Linear OA(8166, 177, F8, 110) (dual of [177, 11, 111]-code) | [i] | ||
| 10 | Linear OA(8106, 116, F8, 73) (dual of [116, 10, 74]-code) | [i] | ||
| 11 | Linear OA(8164, 174, F8, 110) (dual of [174, 10, 111]-code) | [i] | ||
| 12 | Linear OA(876, 100, F8, 44) (dual of [100, 24, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(872, 94, F8, 44) (dual of [94, 22, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(869, 91, F8, 42) (dual of [91, 22, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(870, 91, F8, 43) (dual of [91, 21, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(871, 91, F8, 44) (dual of [91, 20, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(879, 94, F8, 53) (dual of [94, 15, 54]-code) | [i] | ✔ | |
| 18 | Linear OA(872, 87, F8, 48) (dual of [87, 15, 49]-code) | [i] | ✔ | |
| 19 | Linear OA(876, 89, F8, 53) (dual of [89, 13, 54]-code) | [i] | ✔ | |
| 20 | Linear OA(873, 86, F8, 51) (dual of [86, 13, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(882, 97, F8, 54) (dual of [97, 15, 55]-code) | [i] | ✔ | |
| 22 | Linear OA(879, 92, F8, 54) (dual of [92, 13, 55]-code) | [i] | ✔ | |
| 23 | Linear OA(878, 91, F8, 54) (dual of [91, 13, 55]-code) | [i] | ✔ | |
| 24 | Linear OA(885, 100, F8, 55) (dual of [100, 15, 56]-code) | [i] | ✔ | |
| 25 | Linear OA(881, 94, F8, 55) (dual of [94, 13, 56]-code) | [i] | ✔ | |