Information on Result #719494
Linear OA(963, 728, F9, 23) (dual of [728, 665, 24]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(963, 701, F9, 2, 23) (dual of [(701, 2), 1339, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(963, 701, F9, 3, 23) (dual of [(701, 3), 2040, 24]-NRT-code) | [i] | ||
| 3 | Digital (40, 63, 701)-net over F9 | [i] | ||
| 4 | Linear OA(987, 769, F9, 27) (dual of [769, 682, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9104, 769, F9, 34) (dual of [769, 665, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(9110, 775, F9, 35) (dual of [775, 665, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(9108, 769, F9, 35) (dual of [769, 661, 36]-code) | [i] | ✔ | |