Information on Result #719088
Linear OA(939, 728, F9, 14) (dual of [728, 689, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(939, 689, F9, 2, 14) (dual of [(689, 2), 1339, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(939, 689, F9, 3, 14) (dual of [(689, 3), 2028, 15]-NRT-code) | [i] | ||
| 3 | Digital (25, 39, 689)-net over F9 | [i] | ||
| 4 | Linear OA(962, 769, F9, 18) (dual of [769, 707, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(980, 769, F9, 25) (dual of [769, 689, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(986, 775, F9, 26) (dual of [775, 689, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(984, 769, F9, 26) (dual of [769, 685, 27]-code) | [i] | ✔ | |