Information on Result #718465
Linear OA(976, 80, F9, 69) (dual of [80, 4, 70]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,59}, and designed minimum distance d ≥ |I|+1 = 70
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(976, 80, F9, 68) (dual of [80, 4, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(976, 80, F9, 67) (dual of [80, 4, 68]-code) | [i] | ||
| 3 | Linear OA(976, 80, F9, 66) (dual of [80, 4, 67]-code) | [i] | ||
| 4 | Linear OA(976, 80, F9, 65) (dual of [80, 4, 66]-code) | [i] | ||
| 5 | Linear OA(991, 103, F9, 67) (dual of [103, 12, 68]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(988, 100, F9, 65) (dual of [100, 12, 66]-code) | [i] | ✔ | |
| 7 | Linear OA(989, 100, F9, 66) (dual of [100, 11, 67]-code) | [i] | ✔ | |
| 8 | Linear OA(990, 100, F9, 67) (dual of [100, 10, 68]-code) | [i] | ✔ | |
| 9 | Linear OA(992, 102, F9, 69) (dual of [102, 10, 70]-code) | [i] | ✔ | |
| 10 | Linear OA(989, 99, F9, 67) (dual of [99, 10, 68]-code) | [i] | ✔ | |
| 11 | Linear OOA(976, 40, F9, 2, 69) (dual of [(40, 2), 4, 70]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(976, 26, F9, 3, 69) (dual of [(26, 3), 2, 70]-NRT-code) | [i] | ||