Information on Result #719570
Linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,101}, 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 Expurgated Narrow-Sense BCH-Codes [i]
- 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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(955, 501, F9, 2, 21) (dual of [(501, 2), 947, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(955, 501, F9, 3, 21) (dual of [(501, 3), 1448, 22]-NRT-code) | [i] | ||
| 3 | Digital (34, 55, 501)-net over F9 | [i] | ||
| 4 | Linear OA(992, 786, F9, 27) (dual of [786, 694, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(991, 783, F9, 27) (dual of [783, 692, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(990, 781, F9, 27) (dual of [781, 691, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(989, 780, F9, 27) (dual of [780, 691, 28]-code) | [i] | ✔ | |