Information on Result #719544
Linear OA(958, 728, F9, 21) (dual of [728, 670, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,16}, and designed minimum distance d ≥ |I|+1 = 22
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(958, 712, F9, 2, 21) (dual of [(712, 2), 1366, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(958, 712, F9, 3, 21) (dual of [(712, 3), 2078, 22]-NRT-code) | [i] | ||
| 3 | Digital (37, 58, 712)-net over F9 | [i] | ||
| 4 | Linear OA(966, 748, F9, 23) (dual of [748, 682, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(970, 752, F9, 24) (dual of [752, 682, 25]-code) | [i] | ✔ | |