Information on Result #719127
Linear OA(930, 728, F9, 11) (dual of [728, 698, 12]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(930, 611, F9, 2, 11) (dual of [(611, 2), 1192, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(930, 611, F9, 3, 11) (dual of [(611, 3), 1803, 12]-NRT-code) | [i] | ||
| 3 | Digital (19, 30, 611)-net over F9 | [i] | ||
| 4 | Linear OA(940, 744, F9, 14) (dual of [744, 704, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(945, 749, F9, 15) (dual of [749, 704, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(954, 758, F9, 17) (dual of [758, 704, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(959, 763, F9, 18) (dual of [763, 704, 19]-code) | [i] | ✔ | |