Information on Result #705705
Linear OA(3214, 728, F3, 56) (dual of [728, 514, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,364}, and designed minimum distance d ≥ |I|+1 = 57
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.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3228, 760, F3, 57) (dual of [760, 532, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3244, 781, F3, 59) (dual of [781, 537, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(3224, 738, F3, 59) (dual of [738, 514, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(3232, 746, F3, 60) (dual of [746, 514, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(3242, 756, F3, 62) (dual of [756, 514, 63]-code) | [i] | ✔ | |
| 6 | Linear OA(3249, 762, F3, 63) (dual of [762, 513, 64]-code) | [i] | ✔ | |
| 7 | Linear OA(3249, 763, F3, 63) (dual of [763, 514, 64]-code) | [i] | ✔ | |
| 8 | Linear OOA(3214, 182, F3, 4, 56) (dual of [(182, 4), 514, 57]-NRT-code) | [i] | OOA Folding | |