Information on Result #718327
Linear OA(971, 80, F9, 59) (dual of [80, 9, 60]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,49}, and designed minimum distance d ≥ |I|+1 = 60
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(971, 80, F9, 58) (dual of [80, 9, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(971, 80, F9, 57) (dual of [80, 9, 58]-code) | [i] | ||
| 3 | Linear OA(971, 80, F9, 56) (dual of [80, 9, 57]-code) | [i] | ||
| 4 | Linear OA(971, 80, F9, 55) (dual of [80, 9, 56]-code) | [i] | ||
| 5 | Linear OA(9150, 158, F9, 119) (dual of [158, 8, 120]-code) | [i] | Repeating Each Code Word | |
| 6 | Linear OA(9149, 156, F9, 119) (dual of [156, 7, 120]-code) | [i] | ||
| 7 | Linear OA(9148, 154, F9, 119) (dual of [154, 6, 120]-code) | [i] | ||
| 8 | Linear OA(9147, 152, F9, 119) (dual of [152, 5, 120]-code) | [i] | ||
| 9 | Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(984, 105, F9, 55) (dual of [105, 21, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(986, 105, F9, 58) (dual of [105, 19, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(981, 100, F9, 54) (dual of [100, 19, 55]-code) | [i] | ✔ | |
| 13 | Linear OA(982, 100, F9, 55) (dual of [100, 18, 56]-code) | [i] | ✔ | |
| 14 | Linear OA(983, 100, F9, 56) (dual of [100, 17, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(986, 103, F9, 59) (dual of [103, 17, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(981, 98, F9, 55) (dual of [98, 17, 56]-code) | [i] | ✔ | |
| 17 | Linear OOA(971, 40, F9, 2, 59) (dual of [(40, 2), 9, 60]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(971, 26, F9, 3, 59) (dual of [(26, 3), 7, 60]-NRT-code) | [i] | ||