Information on Result #705452
Linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {316,317,…,364}, and designed minimum distance d ≥ |I|+1 = 50
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(3203, 759, F3, 50) (dual of [759, 556, 51]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3197, 741, F3, 50) (dual of [741, 544, 51]-code) | [i] | ✔ | |
| 3 | Linear OA(3241, 773, F3, 59) (dual of [773, 532, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(3244, 781, F3, 59) (dual of [781, 537, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(3248, 781, F3, 60) (dual of [781, 533, 61]-code) | [i] | ✔ | |
| 6 | Linear OOA(3190, 364, F3, 2, 49) (dual of [(364, 2), 538, 50]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3190, 182, F3, 4, 49) (dual of [(182, 4), 538, 50]-NRT-code) | [i] | ||