Information on Result #720140
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 = {−3,−2,…,29}, 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(993, 749, F9, 33) (dual of [749, 656, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(991, 745, F9, 33) (dual of [745, 654, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(990, 741, F9, 33) (dual of [741, 651, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(993, 741, F9, 34) (dual of [741, 648, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(997, 745, F9, 35) (dual of [745, 648, 36]-code) | [i] | ✔ | |