Information on Result #714870
Linear OA(859, 63, F8, 53) (dual of [63, 4, 54]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,62}, and designed minimum distance d ≥ |I|+1 = 54
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 BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(859, 63, F8, 52) (dual of [63, 4, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(859, 63, F8, 51) (dual of [63, 4, 52]-code) | [i] | ||
| 3 | Linear OA(8122, 126, F8, 107) (dual of [126, 4, 108]-code) | [i] | Repeating Each Code Word | |
| 4 | Linear OA(8134, 138, F8, 117) (dual of [138, 4, 118]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(8139, 143, F8, 121) (dual of [143, 4, 122]-code) | [i] | ||
| 6 | Linear OA(8162, 166, F8, 141) (dual of [166, 4, 142]-code) | [i] | ||
| 7 | Linear OA(8167, 171, F8, 145) (dual of [171, 4, 146]-code) | [i] | ||
| 8 | Linear OA(8171, 175, F8, 149) (dual of [175, 4, 150]-code) | [i] | ||
| 9 | Linear OA(887, 100, F8, 57) (dual of [100, 13, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(882, 91, F8, 62) (dual of [91, 9, 63]-code) | [i] | ✔ | |
| 11 | Linear OA(877, 86, F8, 58) (dual of [86, 9, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(881, 89, F8, 62) (dual of [89, 8, 63]-code) | [i] | ✔ | |
| 13 | Linear OA(877, 85, F8, 59) (dual of [85, 8, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(873, 81, F8, 56) (dual of [81, 8, 57]-code) | [i] | ✔ | |
| 15 | Linear OOA(859, 31, F8, 2, 53) (dual of [(31, 2), 3, 54]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(859, 21, F8, 3, 53) (dual of [(21, 3), 4, 54]-NRT-code) | [i] | ||