Information on Result #719703
Linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(970, 666, F9, 2, 26) (dual of [(666, 2), 1262, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(970, 666, F9, 3, 26) (dual of [(666, 3), 1928, 27]-NRT-code) | [i] | ||
| 3 | Digital (44, 70, 666)-net over F9 | [i] | ||
| 4 | Linear OA(975, 751, F9, 26) (dual of [751, 676, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(974, 747, F9, 26) (dual of [747, 673, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(977, 747, F9, 27) (dual of [747, 670, 28]-code) | [i] | ✔ | |