Information on Result #720137
Linear OA(978, 728, F9, 29) (dual of [728, 650, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
Mode: Constructive and linear.
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]
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(988, 744, F9, 32) (dual of [744, 656, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(993, 749, F9, 33) (dual of [749, 656, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(9102, 758, F9, 35) (dual of [758, 656, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(9107, 763, F9, 36) (dual of [763, 656, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(9139, 789, F9, 44) (dual of [789, 650, 45]-code) | [i] | ✔ | |