Information on Result #705413
Linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,382}, and designed minimum distance d ≥ |I|+1 = 53
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 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(3227, 799, F3, 52) (dual of [799, 572, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3225, 797, F3, 51) (dual of [797, 572, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(3224, 790, F3, 52) (dual of [790, 566, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(3221, 781, F3, 52) (dual of [781, 560, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(3218, 778, F3, 51) (dual of [778, 560, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(3233, 781, F3, 55) (dual of [781, 548, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(3230, 778, F3, 54) (dual of [778, 548, 55]-code) | [i] | ✔ | |
| 8 | Linear OOA(3202, 364, F3, 2, 52) (dual of [(364, 2), 526, 53]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3202, 182, F3, 4, 52) (dual of [(182, 4), 526, 53]-NRT-code) | [i] | ||