Information on Result #705048
Linear OA(3145, 728, F3, 36) (dual of [728, 583, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,374}, and designed minimum distance d ≥ |I|+1 = 37
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3145, 680, F3, 2, 36) (dual of [(680, 2), 1215, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3145, 680, F3, 3, 36) (dual of [(680, 3), 1895, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3145, 680, F3, 4, 36) (dual of [(680, 4), 2575, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3145, 680, F3, 5, 36) (dual of [(680, 5), 3255, 37]-NRT-code) | [i] | ||
| 5 | Digital (109, 145, 680)-net over F3 | [i] | ||
| 6 | Linear OA(3193, 789, F3, 44) (dual of [789, 596, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3191, 781, F3, 44) (dual of [781, 590, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(3203, 781, F3, 47) (dual of [781, 578, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(3212, 790, F3, 49) (dual of [790, 578, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(3221, 799, F3, 50) (dual of [799, 578, 51]-code) | [i] | ✔ | |