Information on Result #719773
Linear OA(978, 728, F9, 29) (dual of [728, 650, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,90}, and designed minimum distance d ≥ |I|+1 = 30
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(978, 704, F9, 2, 29) (dual of [(704, 2), 1330, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(978, 704, F9, 3, 29) (dual of [(704, 3), 2034, 30]-NRT-code) | [i] | ||
| 3 | Digital (49, 78, 704)-net over F9 | [i] | ||
| 4 | Linear OA(993, 761, F9, 31) (dual of [761, 668, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(992, 760, F9, 31) (dual of [760, 668, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(990, 755, F9, 31) (dual of [755, 665, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(996, 764, F9, 32) (dual of [764, 668, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(988, 749, F9, 31) (dual of [749, 661, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(994, 759, F9, 32) (dual of [759, 665, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(986, 743, F9, 31) (dual of [743, 657, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(9110, 760, F9, 38) (dual of [760, 650, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(9116, 766, F9, 39) (dual of [766, 650, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(9114, 761, F9, 39) (dual of [761, 647, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(9103, 753, F9, 36) (dual of [753, 650, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(9114, 764, F9, 39) (dual of [764, 650, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(9119, 769, F9, 40) (dual of [769, 650, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(9128, 778, F9, 42) (dual of [778, 650, 43]-code) | [i] | ✔ | |