Information on Result #719892
Linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,96}, and designed minimum distance d ≥ |I|+1 = 34
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]
- 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]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(988, 723, F9, 2, 33) (dual of [(723, 2), 1358, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(988, 723, F9, 3, 33) (dual of [(723, 3), 2081, 34]-NRT-code) | [i] | ||
| 3 | Digital (55, 88, 723)-net over F9 | [i] | ||
| 4 | Linear OA(9107, 784, F9, 33) (dual of [784, 677, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9104, 778, F9, 33) (dual of [778, 674, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(9103, 749, F9, 37) (dual of [749, 646, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(9102, 746, F9, 37) (dual of [746, 644, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(9116, 754, F9, 41) (dual of [754, 638, 42]-code) | [i] | ✔ | |