Information on Result #704267
Linear OA(372, 728, F3, 18) (dual of [728, 656, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {346,347,…,363}, and designed minimum distance d ≥ |I|+1 = 19
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(372, 432, F3, 2, 18) (dual of [(432, 2), 792, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(372, 432, F3, 3, 18) (dual of [(432, 3), 1224, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(372, 432, F3, 4, 18) (dual of [(432, 4), 1656, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(372, 432, F3, 5, 18) (dual of [(432, 5), 2088, 19]-NRT-code) | [i] | ||
| 5 | Digital (54, 72, 432)-net over F3 | [i] | ||
| 6 | Linear OA(390, 770, F3, 20) (dual of [770, 680, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(388, 764, F3, 20) (dual of [764, 676, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(3114, 770, F3, 26) (dual of [770, 656, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(3112, 764, F3, 26) (dual of [764, 652, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3124, 773, F3, 27) (dual of [773, 649, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(3122, 774, F3, 28) (dual of [774, 652, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(3132, 788, F3, 29) (dual of [788, 656, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(3130, 782, F3, 29) (dual of [782, 652, 30]-code) | [i] | ✔ | |
| 14 | Linear OOA(372, 364, F3, 2, 18) (dual of [(364, 2), 656, 19]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(372, 182, F3, 4, 18) (dual of [(182, 4), 656, 19]-NRT-code) | [i] | ||