Information on Result #719092
Linear OA(942, 728, F9, 15) (dual of [728, 686, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(942, 717, F9, 2, 15) (dual of [(717, 2), 1392, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(942, 717, F9, 3, 15) (dual of [(717, 3), 2109, 16]-NRT-code) | [i] | ||
| 3 | Digital (27, 42, 717)-net over F9 | [i] | ||
| 4 | Linear OA(960, 764, F9, 18) (dual of [764, 704, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(973, 759, F9, 24) (dual of [759, 686, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(978, 764, F9, 25) (dual of [764, 686, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(984, 770, F9, 26) (dual of [770, 686, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(983, 766, F9, 26) (dual of [766, 683, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(982, 764, F9, 26) (dual of [764, 682, 27]-code) | [i] | ✔ | |